4th Grade Long Division Worksheets

Welcome to our 4th Grade Long Division Worksheets.

Here you will find a wide range of free 4th Grade Math Worksheets, which will help your child to learn to use long division with numbers up to 4 digits ÷ 1 digit.

4th Grade Long Division Worksheets

Single Digit Long Division

Here you will find a selection of 4th grade long division worksheets which are designed to help your child learn to divide 3- and 4-digit numbers by a single digit.

The sheets are graded so that the easier ones are at the top.

Using these sheets will help you to:

  • divide a range of numbers by a single digit using long division, with and without remainders.

The Steps in Long Division

dividing 3 digits by 1 digit example 1a

When we are doing long division, we can split the method into a series of stages with each stage having 4 steps:

Here are the 4 steps in each stage.

  1. Divide
  2. Multiply
  3. Subtract
  4. Bring the next number(s) down

We sometimes call this method the DMSB method of long division.

4th Grade Long Division Worked Examples


Example 1) Work out 176 ÷ 4.

The first thing we need to do is to write the division out in the correct long division format.

3-digit by 1-digit long division example 1a

Now we repeat the 4 steps: Divide, Multiply, Subtract and Bring Down until there are no more digits left.

Stage 1

Step 1) Divide: we need to find how many groups of 4 can be made from the first digit which is 1.

You can't make any groups of 4 from 1.

We write 0 in the answer line above the digit 1.

3-digit by 1-digit long division example 1b

Step 2) As there are 0 groups of 4 when we divide the first digit, we can simply ignore the other steps in this stage and move on to Stage 2.

Stage 2

Step 1) Divide: we need to find how many groups of 4 can be made from the first two digits which are 17.

You can make 4 groups of 4 from 17.

We write 4 in the answer line above the digit 7.

Step 2) Multiply: we multiply 4 by 4 (our answer from the previous step) to make 16.

We write 16 below the 17 and draw a line underneath.

3-digit by 1-digit long division example 1c

Step 3) Subtract: we work out 17 − 16 = 1.

We write 1 under the line below the number 16.

Step 4) Bring down: we bring down the next digit which is 6 and write it next to the 1. This makes the number 16.

3-digit by 1-digit long division example 1d

Stage 3

Step 1) Divide: we need to find how many groups of 4 can be made from the number 16.

You can make 4 groups of 4 out of 16.

We write 4 in the answer line above the digit 6.

Step 2) Multiply: we multiply 4 by 4 (our answer from the previous step) to make 16.

We write 16 below the 16 and draw a line underneath.

3-digit by 1-digit long division example 1e

Step 3) Subtract: we work out 16 − 16 = 0.

We write 0 under the line below the number 16.

Step 4) Bring down: there are no more digits to bring down so we have finished.

3-digit by 1-digit long division example 1f

Our final answer is 176 ÷ 4 = 44


Example 2) Work out 237 ÷ 5.

The first thing we need to do is to write the division out in the correct long division format.

3-digit by 1-digit long division example 2a

Now we repeat the 4 steps: Divide, Multiply, Subtract and Bring Down until there are no more digits left.

Stage 1

Step 1) Divide: we need to find how many groups of 5 can be made from the first digit which is 2.

You can't make any groups of 5 from 2.

We write 0 in the answer line above the digit 2.

3-digit by 1-digit long division example 2b

Step 2) As there are 0 groups of 5 when we divide the first digit, we can simply ignore the other steps in this stage and move on to Stage 2.

Stage 2

Step 1) Divide: we need to find how many groups of 5 can be made from the first two digits which are 23.

You can make 4 groups of 5 from 23.

We write 4 in the answer line above the digit 3.

Step 2) Multiply: we multiply 5 by 4 (our answer from the previous step) to make 20.

We write 20 below the 23 and draw a line underneath.

3-digit by 1-digit long division example 2c

Step 3) Subtract: we work out 23 − 20 = 3.

We write 3 under the line below the number 20.

Step 4) Bring down: we bring down the next digit which is 7 and write it next to the 3. This makes the number 37.

3-digit by 1-digit long division example 2d

Stage 3

Step 1) Divide: we need to find how many groups of 5 can be made from the number 37.

You can make 7 groups of 5 out of 37.

We write 7 in the answer line above the digit 7.

Step 2) Multiply: we multiply 5 by 7 (our answer from the previous step) to make 35.

We write 35 below the 37 and draw a line underneath.

3-digit by 1-digit long division example 2e

Step 3) Subtract: we work out 37 − 35 = 2.

We write 2 under the line below the number 35.

Step 4) Bring down: there are no more digits to bring down so we have finished.

3-digit by 1-digit long division example 2f

Our final answer is 237 ÷ 5 = 47 remainder 2


Example 3) Work out 851 ÷ 3.

The first thing we need to do is to write the division out in the correct long division format.

3-digit by 1-digit long division example 3a

Now we repeat the 4 steps: Divide, Multiply, Subtract and Bring Down until there are no more digits left.

Stage 1

Step 1) Divide: we need to find how many groups of 3 can be made from the first digit which is 8.

You can make 2 groups of 3 from 8.

We write 2 in the answer line above the digit 8.

Step 2) Multiply: we multiply 3 by 2 (our answer from the previous step) to make 6.

We write 6 below the 8 and draw a line underneath.

3-digit by 1-digit long division example 3b

Step 3) Subtract: we work out 8 − 6 = 2.

We write 2 under the line below the number 6.

Step 4) Bring down: we bring down the next digit which is 5 and write it next to the 2. This makes the number 25.

3-digit by 1-digit long division example 3c

Stage 2

Step 1) Divide: we need to find how many groups of 3 can be made from the number 25.

You can make 8 groups of 3 from 25.

We write 8 in the answer line above the digit 5.

Step 2) Multiply: we multiply 3 by 8 (our answer from the previous step) to make 24.

We write 24 below the 25 and draw a line underneath.

3-digit by 1-digit long division example 3d

Step 3) Subtract: we work out 25 − 24 = 1.

We write 1 under the line below the number 24.

Step 4) Bring down: we bring down the next digit which is 1 and write it next to the 1. This makes the number 11.

3-digit by 1-digit long division example 3e

Stage 3

Step 1) Divide: we need to find how many groups of 3 can be made from the number 11.

You can make 3 groups of 3 out of 11.

We write 3 in the answer line above the digit 1.

Step 2) Multiply: we multiply 3 by 3 (our answer from the previous step) to make 9.

We write 9 below the 11 and draw a line underneath.

3-digit by 1-digit long division example 3f

Step 3) Subtract: we work out 11 − 9 = 2.

We write 2 under the line below the number 9.

Step 4) Bring down: there are no more digits to bring down so we have finished.

3-digit by 1-digit long division example 3g

Our final answer is 851 ÷ 3 = 283 remainder 2


Example 4) Work out 6249 ÷ 3.

The first thing we need to do is to write the division out in the correct long division format.

4-digit by 1-digit long division example 1a

Now we repeat the 4 steps: Divide, Multiply, Subtract and Bring Down until there are no more digits left.

Stage 1

Step 1) Divide: we need to find how many groups of 3 can be made from the first digit which is 6.

You can make 2 groups of 3 from 6.

We write 2 in the answer line above the digit 6.

Step 2) Multiply: we multiply 3 by 2 (our answer from the previous step) to make 6.

We write 6 below the 6 and draw a line underneath.

4-digit by 1-digit long division example 1b

Step 3) Subtract: we work out 6 − 6 = 0.

We write 0 under the line below the number 6.

Step 4) We bring down the next digit which is 2 and write it next to the 0.

We now have our next number which is 02 (or just 2).

4-digit by 1-digit long division example 1c

Stage 2

Step 1) Divide: we need to find how many groups of 3 can be made from the number 2.

You can make 0 groups of 3 from 2.

We write 0 in the answer line above the digit 2.

Step 2) Multiply: we multiply 3 by 0 (our answer from the previous step) to make 0.

We write 0 below the 02 and draw a line underneath.

4-digit by 1-digit long division example 1d

Step 3) Subtract: we work out 2 − 0 = 2.

We write 2 under the line below the number 0.

Step 4) Bring down: we bring down the next digit which is 4 and write it next to the 2. This makes the number 24.

4-digit by 1-digit long division example 1e

Stage 3

Step 1) Divide: we need to find how many groups of 3 can be made from the number 24.

You can make 8 groups of 3 out of 24.

We write 8 in the answer line above the digit 4.

Step 2) Multiply: we multiply 3 by 8 (our answer from the previous step) to make 24.

We write 24 below the 24 and draw a line underneath.

4-digit by 1-digit long division example 1f

Step 3) Subtract: we work out 24 − 24 = 0.

We write 0 under the line below the number 24.

Step 4) Bring down: we bring down the next digit which is 9 and write it next to the 0. This makes the number 09 (or just 9).

4-digit by 1-digit long division example 1g

Stage 4

Step 1) Divide: we need to find how many groups of 3 can be made from the number 9.

You can make 3 groups of 3 out of 9.

We write 3 in the answer line above the digit 9.

Step 2) Multiply: we multiply 3 by 3 (our answer from the previous step) to make 9.

We write 9 below the 9 and draw a line underneath.

4-digit by 1-digit long division example 1h

Step 3) Subtract: we work out 9 − 9 = 0.

We write 0 under the line below the number 9.

Step 4) Bring down: there are no more numbers to bring down so we have finished.

4-digit by 1-digit long division example 1i

Our final answer is 6249 ÷ 3 = 2083


Example 5) Work out 2507 ÷ 9.

The first thing we need to do is to write the division out in the correct long division format.

4-digit by 1-digit long division example 4a

Now we repeat the 4 steps: Divide, Multiply, Subtract and Bring Down until there are no more digits left.

Stage 1

Step 1) Divide: we need to find how many groups of 9 can be made from the first digit which is 2.

You can't make any groups of 9 from 2.

We write 0 in the answer line above the digit 2.

4-digit by 1-digit long division example 4b

Step 2) As there are 0 groups of 9 when we divide the first digit, we can simply ignore the other steps in this stage and move on to Stage 2.

Stage 2

Step 1) Divide: we need to find how many groups of 9 can be made from the first two digits which are 25.

You can make 2 groups of 9 from 25.

We write 2 in the answer line above the digit 5.

Step 2) Multiply: we multiply 9 by 2 (our answer from the previous step) to make 18.

We write 18 below the 25 and draw a line underneath.

4-digit by 1-digit long division example 4c

Step 3) Subtract: we work out 25 − 18 = 7.

We write 7 under the line below the number 18.

Step 4) Bring down: we bring down the next digit which is 0 and write it next to the 7. This makes the number 70.

4-digit by 1-digit long division example 4d

Stage 3

Step 1) Divide: we need to find how many groups of 9 can be made from the number 70.

You can make 7 groups of 9 out of 70.

We write 7 in the answer line above the digit 0.

Step 2) Multiply: we multiply 9 by 7 (our answer from the previous step) to make 63.

We write 63 below the 70 and draw a line underneath.

4-digit by 1-digit long division example 4e

Step 3) Subtract: we work out 70 − 63 = 7.

We write 7 under the line below the number 63.

Step 4) Bring down: we bring down the next digit which is 7 and write it next to the 7. This makes the number 77.

4-digit by 1-digit long division example 4f

Stage 4

Step 1) Divide: we need to find how many groups of 9 can be made from the number 77.

You can make 8 groups of 9 out of 77.

We write 8 in the answer line above the digit 7.

Step 2) Multiply: we multiply 9 by 8 (our answer from the previous step) to make 72.

We write 72 below the 77 and draw a line underneath.

4-digit by 1-digit long division example 4g

Step 3) Subtract: we work out 77 − 72 = 5.

We write 5 under the line below the number 72.

Step 4) Bring down: there are no more numbers to bring down so we have finished.

4-digit by 1-digit long division example 4h

Our final answer is 2507 ÷ 9 = 278 remainder 5


4th Grade Long Division Worksheets 3 Digits by 1 Digit

4th Grade Long Division Worksheets 4 digits by 1 digit

Division 4 digits by 1 digit Walkthrough Video

This short video walkthrough shows the first two questions from our Division 4 digits by 1 digit Worksheet 1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Looking for some easier worksheets?

Try some of our 3rd grade division worksheets.

These sheets cover dividing 2-digit numbers by a single digit.

Looking for some harder worksheets?

Try some of our 5th grade division worksheets.

These sheets cover dividing 3-digit numbers up to 5-digit numbers by 2-digits.

There are also some worksheets to help you understand how to divide decimal numbers.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Long Division Support

We have created a calculator to help you master the long division method.

Just type in the dividend and divisor and let the calculator show you how to work out the long division, step-by-step.

The calculator also gives commentary to show you what is happending at each stage.

Short Division vs Long Division Support

We have created a webpage to help you understand and learn about the difference between short division and long division method.

Randomly Generated Long Division Problems Worksheet Generator

Take a look at our long division problems worksheet generator.

This generator will generate your own worksheets from 2-digits by 1-digit to 5-digits by 2-digits.

You can choose to have remainders or not, and whether to record the remainders as a whole number or fraction.

More 4th Grade (Graded) Division Sheets

We also have a wider selection of division worksheets on related multiplication facts and also division problems.

  • understand how division and multiplication are related;
  • apply their division facts up to 10x10 to answer related questions involving 10s and 100s;
  • solve division problems.

Fourth Grade Fraction Worksheets

Here you will find a range of free printable 4th Grade Fraction Worksheets.

At 4th Grade level, children are introduced to different ways of looking at fractions, from fractions as points on a number line, to fractions being parts of a whole. They understand different unit fractions, e.g. a half, a quarter, a Fourth, etc, and can locate these on a number line.

Using these sheets will help your child to:

  • position different fractions on a number line;
  • understand equivalent fractions;
  • understand what a mixed number is;
  • begin to convert fractions to decimals and decimals to fractions.

All the Fourth Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for Fourth Grade.

Math Division Games

Here you will find a range of Free Printable Division Games to help kids learn their division facts.

Using these games will help your child to learn their division facts, and also to develop their memory and strategic thinking skills.

 

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