math problems long division

Long Division Worksheets

Without remainders, with remainders.

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Long division

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4th Grade Math Worksheets: Long Division

Long division worksheets.

Long division is a skill which requires a lot of practice with pencil and paper to master. Our grade 4 long division worksheets cover long division with one digit divisors and up to 4 digit dividends .

Sample Grade 4 Long Division Worksheet

More division worksheets

Explore all of our division worksheets , from simple division facts to long division of large numbers.

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Division problems - set up the long division yourself

In these worksheets, the student has to set up the long division himself (the division problem is written horizontally at the top of the workspace).

Long division with two-digit divisor

Three-digit divisors.

The following worksheets are for three-digit divisors. The divisions are exact. If you're looking for division with remainders, you can make worksheets using the generator below or go to this page for some ready-made worksheets.

Division worksheets generator

Use the generator to make customized worksheets, including horizontally written problems, long division, and division with remainders.

Practice makes perfect. Practice math at IXL.com

Number of Digits in Quotient

Remainders for long division problems.

With Remainders Without Remainders Mixed

Answer Key Remainders Printed as:

Remainders Fractions

Number of Problems for Each Long Division Worksheet

9 Problems 12 Problems

Language for the Division Worksheet

Memo line for the division worksheet.

You may enter a message or special instruction that will appear on the bottom left corner of the Division Worksheet.

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Division Worksheet Answer Page

Include Division Worksheet Answer Page

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Division Worksheets

Welcome to the division worksheets page at Math-Drills.com! Please give us your undivided attention while we introduce this page. Our worksheets for division help you to teach students the very important concept of division. If students have a good recall of multiplication facts, the division facts should be a breeze to teach. If you want your students to experience success in learning division, please make sure they know their multiplication facts to 81, how to multiply by 0 and how to multiply by 10. If they don't know these things, this is going to take a lot longer.

On this page you will find many Division Worksheets including division facts and long division with and without remainders. We start off with some division facts which as you know are just the multiplication facts expressed in a different way. The main difference is that you can't divide by 0 and get a real number. If you really want your students to impress, say at their dinner table when their parents ask them what they learned today, you can teach them that division by zero is undefined.

The rest of the page is devoted to long division which for some reason is disliked among some members of the population. Long division is most difficult when students don't know their multiplication facts, so make sure they know them first. Oh, we already said that. What about a long division algorithm... maybe the one you or your parents or your grandparents learned? We adamantly say, yes! The reason that you and your ancestors used it is because it is an efficient and beautiful algorithm that will allow you to solve some of the most difficult division problems that even base ten blocks couldn't touch. It works equally well for decimals and whole numbers. Long division really isn't that hard.

Most Popular Division Worksheets this Week

$Horizontally Arranged Division Facts with Divisors 1 to 10 and Dividends to 100 (100 Questions)$

Division Facts Worksheets

Division facts worksheets including division tables, division facts and worksheets with individual division facts.

Division facts tables

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Horizontally Arranged Division Facts Worksheets

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Manipulatives can help students "get" the concept of division. For example, students could regroup base ten blocks into units, then divide the units into piles. For example, 81 ÷ 9 would end up being 9 piles of 9 units.

Division is essentially asing the question, "How many _____'s are in _____?" For the question, 81 ÷ 9, the prompt would sound like, "How many 9's are in 81?" This prompt will benefit students in later math studies when there are more complex concepts such as dividing decimals or fractions. "How many thirds are in four?" or even better,, How many third cups are in four cups?" If necessary, get out the measuring cups.

Vertical division facts worksheets

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Horizontally Arranged Dividing by Focus Numbers

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Division facts worksheets with combinations of focus numbers

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Long Division Worksheets

Long division worksheets for practicing various long division strategies including questions with no remainders, remainders and decimal quotients.

Long division worksheets with no remainders

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Need an easier way to divide large numbers? Try this method using powers of ten. To successfully use this method, students need to be able to multiply by powers of ten and to subtract. Students subtract the dividend multiplied by decreasing powers of ten until they have zero or a remainder. Example: 1458 ÷ 54. Note 54 × 1 = 54, 54 × 10 = 540 (nothing greater is needed). 1458 - 540 - 540 = 378. Note that 540 was subtracted twice, so the number of times that 54 "goes into" 1458 so far is 20 times. Continuing, 378 - 54 - 54 - 54 - 54 - 54 - 54 - 54 = 0. Since 54 was subtracted seven times, the quotient increases by seven for a total of 27. In other words, 54 "goes into" 1458, 27 times.

We might also mention that this method can be even more sophisticated by using multiples of powers of ten. In the above example, using 54 × 5 = 270 would have helped to get to the quotient quicker.

European Long division worksheets with no remainders

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Long division worksheets with remainders

$math problems long division$

Have you ever thought that you could help a student understand things better and get a more precise answer while still using remainders? It's quite easy really. Remainders are usually given out of context, including on the answer keys below. A remainder is really a numerator in a fractional quotient. For example 19 ÷ 3 is 6 with a remainder of 1 which is more precisely 6 1/3. Using fractional quotients means your students will always find the exact answer to all long division questions, and in many cases the answer will actually be more precise (e.g. compare 6 1/3 with 6.3333....).

Long division worksheets with decimal quotients

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European long division worksheets with remainders

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European long division worksheets with decimal quotients

$math problems long division$

Long Division with Remainders worksheets with the steps shown on the answer key

$math problems long division$

We thought it might be helpful to include some long division worksheets with the steps shown. The answer keys for these division worksheets use the standard algorithm that you might learn if you went to an English speaking school. Learning this algorithm by itself is sometimes not enough as it may not lead to a good conceptual understanding. One tool that helps students learn the standard algorithm and develop an understanding of division is a set of base ten blocks. By teaching students division with base ten blocks first then progressing to the standard algorithm, students will gain a conceptual understanding plus have the use of an efficient algorithm for long division. Students who have both of these things will naturally experience more success in their future mathematical studies.

Long Division on a Grid

Long division with grid assistance and no remainders worksheets.

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Some students find it difficult to get everything lined up when completing a long division algorithm, so these worksheets include a grid and wider spacing of the digits to help students get things in the right place. The answer keys include the typical steps that students would record while completing each problem; however, slight variations in implementation may occur. For example, some people don't bother with the subtraction signs,some might show steps subtracting zero, etc.

Long division with grid assistance and SOME remainders worksheets

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Divisibility Rules

Worksheets for practicing divisibility rules including a variety of small and large numbers and focusing on various divisors.

Divisibility rules

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Divisibility by 2, 5 and 10

A number is divisible by 2 if the final digit (the digit in the ones place) is even. Numbers ending in 0, 2, 4, 6, or 8 therefore are divisible by 2. A number is divisible by 5 if the final digit is a 0 or a 5. A number is divisible by 10 if the final digit is a 0.

Divisibility by 3, 6 and 9

A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 285 is divisible by 3 because 2 + 8 + 5 = 15 is divisible by 3. A number is divisible by 6 if it is divisible by both 3 and 2 (see above rules). A number is divisible by 9 if the sum of its digits is divisible by 9. For examples, 285 is not divisible by 9 because 2 + 8 + 5 = 15 is not divisible by 9.

Divisibility by 4, 7 and 8

A number is divisible by 4 if the last two digits of the number are divisible by 4. For 7, there are a couple of strategies to use. Please see Divisibility Tricks for Learning Math for more information. A number is divisible by 8 if the last three digits are divisible by 8. This is the standard rule which can be a little sketchy for larger numbers, like who knows if 680 is divisible by 8? Because of this, we offer our Math-Drills.com solution which requires a little arithmetic, but can be accomplished quite easily with a little practice. As you know 8 is 2 to the third power, so we thought if you could divide the last three digits of a number by 2 three times, it would be divisible by 8. 680 ÷ 2 ÷ 2 ÷ 2 = 340 ÷ 2 ÷ 2 = 170 ÷ 2 = 85. We have a winner! 680 is indeed divisible by 8.

Dividing in Other Base Number Systems

Dividing numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.

Dividing in other base number systems

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Long division is an important math skill that is typically introduced around 3rd grade or 4th grade depending on a student's fluency with basic division facts. These long division worksheets will help build confidence gradually when you're ready! Long division is a special milestone because it requires using several steps, an algorithm, that incorporates not only basic math facts from addition, subtraction and multiplication, but also because it requires a certain amount of intuition and problem solving. Even multi-digit multiplication is fairly mechanical compared to the skills necessary to solve a long division problem by hand. These long division worksheets provide problems of varying levels of difficulty to ease into this process gently. Especially if you are introducing long division in 3rd grade, you'll find the range of complexities in the sheets a gentle introduction to this often fearsome math subject!

Long Division Worksheets without Remainders

24 long division worksheets.

Long division worksheets that do not produce quotients with remainders. When you are first learning the long division steps, these worksheets are the place to start.

Long Division Worksheet without Remainders

Long Division Worksheets with Remainders

36 long division worksheets.

These long division worksheets have quotients with remainders. Each worksheet includes detailed, expanded answers that show how to do long division step by step.

Monster Long Division Worksheets

40 long division worksheets.

Worksheets with the world's longest long division problems! Practice with these will banish the fear of the long division monster!

Division by Factors of Ten

16 long division worksheets.

Long division worksheets with problems focusing on factors of ten, with and without remainders. Working these problems can build slightly different skills such as dropping zeroes to solve problems, which is slightly different from the steps for long division traditionally but still reinforces the same concepts.

Long Division Worksheet by Factors of Ten

Division by Factors of 25

These long division worksheets focus on factors of 25. There are two groups of worksheets, including sets with remainders and sets without remainders.

Long Division Worksheet by Factors of 25

Long Division Worksheets with Multi-Digit Divisors

Long division worksheets with multiple-digit divisors, sets with and sets without remainders. This worksheets start with simple problems that help master multiple digit divisors and build confidence before progressing to more difficult long division problems.

Long Division Worksheet with Multi-Digit Divisors

Long Division Worksheets with Decimal Quotients

28 long division worksheets.

Practice worksheets for division with fractional results expressed as decimals, including long division worksheets with hundredths (especially suited for learning division of amounts of money).

Long Division Worksheet with Decimal Results

Printable Long Division Worksheets

Learning how to do long division is a critical milestone in mathematics education. Long division, like longer multiplication, requires several steps to calculate an answer. However, long division is one of the first procedures where finding the correct answer may require some trail and error approaches or experimentation. Often determining the correct next step in a long division problem, especially multiple digit long division, may require making an 'educated guess' to determine the next digit for the quotient. Checking that guess in the multiplication step of the long division algorithm is critical, insuring that the result at that stage of problem is less than the actual divisor. Many students struggle with these more complicated procedures, and that often makes long division feel like more of a challenge than it should. Throw in long division with remainders or long division with decimals, and the landscape truly becomes a minefield of frustration.

The long division worksheets in this section of the site are designed to introduce various topics gradually, so that long division skills are built incrementally and areas of difficulty can be reinforced without creating a dread of long division problems. Learning how to do long division brings in to play many steps, including multiplication and subtraction as well as basic understanding of the division facts. As long as students begin with a strong mastery of the prior math operations, long division can be an opportunity to show off their results of their hard work on previous parts of their mathematical journey.

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Long Division

This page will link you to a variety of long division worksheets and activities. Topics range from basic division facts with remainders, to problems with 2, 3, and 4-digit dividends, to problems with multi-digit divisors.

Single-Digit Divisors

The division problems on this page have 2-digit dividends, and 1 or 2-digit quotients. Includes practice worksheets, task cards, and more. (example: 73÷8=9r1)

This collection of printables can be used for reviewing division with 3-digit dividends. Browse through various practice worksheets, task cards, a bingo game, cut-and-glue puzzles, a math riddle, a QR code worksheet, and secret code math puzzles.

All division problems in this section have 4-digit dividends and 1-digit divisors. Download a printable Scoot! card game, a math crossword puzzle, and several practice worksheets.

Two-Digit Divisors

Each of the problems on these long division worksheets has a double-digit divisors. (example: 144÷36=4)

Long Division with Money & Decimals

Use long division to divide money amounts. (example: $5.65÷5=$1.13)

This page has over a dozen worksheets for teaching and reviewing decimal division. Includes worksheets and task cards.

Generator Tools

Make your own, customized worksheets. You choose the number of digits in the dividend and the divisor. Then decide if you'd like prefer vertical or horizontal problems. You can even create your own titles and save your generated files.

Basic Division Facts

This page has a variety of worksheets and games for teaching basic division facts. There are timed drills, math card games, memory-match puzzles, mystery pictures, and more.

Use division skills to calculate the mean, or average, of a group of numbers.

Learn to multiply by 2, 3, or 4-digit numbers with these printable worksheets and activities.

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Long Division Questions That Will Test All Students From Sixth Grade to Seniors

Beki Christian

Some division questions are designed for students to practice dividing large numbers such as a four digit number by a two digit number or a three digit number commonly. When larger numbers are involved, students will often use the standard algorithm, or long division.

Here is a selection of long division questions you can share with your students to help them work through the steps involved in using long division.

What is the long division algorithm

Long division question example, long division questions for 5th grade, long division questions for 6th grade, long division questions for middle and high school, looking for more middle school and high school math questions.

Teaching Long Division Worksheets

Long division can be tough, download this free worksheet for Grades 3-5 to help your students better understand long division.

Long division key terminology

Let’s recap some key points:

We can think of long division as a step by step process in which the steps are repeated until the calculation is complete.

When completing a long division calculation, the first thing we do is write out the first 9 multiples of the divisor. This makes the next steps a lot easier. Once we have done this, we can follow these long division steps:

Bring the next digit down

If you have been struggling to teach long division to your 6th grade class then this post on the long division method step by step will prove invaluable!

Let’s look at an example:

First, write out the first 9 multiples of 24. This can be worked out either using partitioning or by repeated addition.

By writing out the multiples of 24, you are saving yourself the time of working through the 24 times table mentally several times, as well as ensuring you make less mistakes.

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216, …

Now follow the steps:

In some long division problems the divisor does not divide the dividend a whole number of times and in these cases the answer may be written with a remainder or a decimal.

The Common Core State Standards states that we need to be able to interpret remainders as whole number remainders, decimals, or by rounding, as appropriate for the context.

Students sometimes first encounter long division around 4th grade, typically finding whole number quotients using one-digit divisors and multi-digit dividends.

As students’ skills develop across 5th grade, questions typically involve two-digit divisors. Beginning in 6th grade, students apply the same understanding to dividing multi-digit decimals.

As students progress through the process of long division, they then apply the same method to divide numbers to reasoning and word problems. It is important that students have a good understanding of the basic multi-digit multiplication and division process.

1. Calculate 4488 ÷ 34

The multiples of 34 are: 34, 68, 102, 136, 170, 204, 238, 272, 306,…

2. Work out 6720 ÷ 25

The multiples of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, …

3. Calculate 9129 ÷ 68 .

The multiples of 68 are: 68, 136, 204, 272, 340, 408, 476, 544, 612, …

4. What is the remainder when 3810 is divided by 47?

The multiples of 47 are: 47, 94, 141, 188, 235, 282, 329, 376, 423, …

5. Nadim is calculating 4482 ÷ 54. His calculation is shown below.

Nadim has made a mistake. Which of the circled numbers is incorrect?

0 is incorrect. He should have brought the 2 down.

6. A zoo charges £13 per ticket. In one day the zoo took £6,136 in ticket sales. How many people visited the zoo that day?

The calculation we need to do is £6,136 ÷ 13

The multiples of 13 are: 13, 26, 39, 52, 65, 78, 91, 104, 117, …

472 people visited the zoo that day.

7. Sophia is going to make some bracelets. Each bracelet uses 77 beads. Sophia has 3500 beads. How many bracelets can Sophia make?

We need to work out 3500 ÷ 77

The multiples of 77 are: 77, 154, 231, 308, 385, 462, 539, 616, 693, …

Sophia can make 45 bracelets. She will have 35 beads left over.

8. A shopkeeper sells pineapples for $0.93 each. One week he sells $91.14 worth of pineapples. How many pineapples did he sell that week?

£91.14 is the same as 9114p. In this case it makes more sense to multiply by 100 and work in pence than to work with decimals.

Multiples of 93: 93, 186, 279, 372, 465, 558, 651, 744, 837, …

He sold 98 pineapples.

9. Below is a calculation. Some numbers have been covered up.

What number should appear in place of the triangle?

Subtracting 136 from 1__0 gives us 54.

136 + 54 = 190, so the number under the square should be 9.

68 + 19 = 87, so the number under the triangle should be 7.

(The number under the circle should be 6 since 1 multiplied by the number gives us 68.)

10. Lucy buys a car for $7500. She pays $4080 up front and splits the rest of the cost over 36 months. Work out how much she pays each month.

£7500 – £4080 = £3420.

She has £3420 to pay so we need to calculate £3420 ÷ 36

The multiples of 36 are: 36, 72, 108, 144, 180, 216, 252, 288, 324, …

She will pay £95 each month.

11. The area of this rectangle is 1224cm ^2 .

Find the length of the base of the rectangle.

Since area = base × height , 1224 = base × 17

We need to calculate 1224 ÷ 17

The multiples of 17 are: 17, 34, 51, 68, 85, 102, 119, 136, 153,….

The length of the base is 72cm.

Long division in middle school and high school

Long division is not taught explicitly past the 6th grade but it can come in useful when solving division problems. It is expected that students can apply multiplication and division skills such as long multiplication and long division across all areas of the middle school and high school math curriculum, including dividing decimals and fractions.

Below are some examples of questions for high school level students where math skills in long division could be applied.

12. The probability of winning a game is \frac{3}{13} . If 845 people play the game, how many would you expect to win?

We need to calculate \frac{3}{13} of 845.

The multiples of 13 are:

13, 26, 39, 52, 65, 78, 91, 104, 117, …

65 × 3 = 195

You would expect 195 people to win.

13. Solve the equation 23(2x + 1) = 1219

The multiples of 46 are: 46, 92, 138, 184, 230, 276, 322, 368, 414, …..

Do you have students who need extra support in math? Give your fourth and fifth grade students more opportunities to consolidate learning and practice skills through personalized elementary math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Programs are available for fourth grade and fifth grade , and you can try 6 lessons absolutely free .

The content in this article was originally written by secondary teacher Beki Christian and has since been revised and adapted for US schools by elementary math teacher Christi Kulesza.

Individual packs for Kindergarten to Grade 5 containing fun math games and activities to complete independently or with a partner.

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Long Division Worksheets
Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. ... Long Division Worksheets. Worksheets » Long Division
Grade 4 Long Division Worksheets
4th Grade Math Worksheets: Long Division ; Long Division ; Division facts practice (using the long division format), Long division basic facts example ; 2-digit
Long division worksheets for grades 4-6
Create an unlimited supply of worksheets for long division (grades 4-6), including with 2-digit and 3-digit divisors. The worksheets can be made in html or
Long Division Worksheets
This Long Division Worksheet the number of digits for the divisors and quotients may be varied from 1 to 3. You may select whether the long division problems
Division Worksheets
Long division is most difficult when students don't know their multiplication facts, so make sure they know them first. Oh, we already said that. What about a
Long Division Worksheets
Long division is a special milestone because it requires using several steps, an algorithm, that incorporates not only basic math facts from addition
Long Division
Developed by MIT graduates, MathScore provides online math practice for Long Division and hundreds of other types of math problems.
Long Division
All division problems in this section have 4-digit dividends and 1-digit divisors. Download a printable Scoot! card game, a math crossword puzzle, and several
Long Division
To get better quality and help us with bandwidth: Watch on YouTubeVideo playback problem? Troubleshoot. Extra Content
Long Division Questions For Students From Sixth Grade to Seniors
Long division question example · Divide: how many times does 24 go into 175? It goes in 7 times (I can see this from my multiples) · Multiply: 24 x 7 = 168 (