Fourth Grade Long Division Problems and Practice Exercises

A Glance at Fourth Grade Long Division

Overview

In fourth grade, your child will begin learning how to do long division. At this grade level, the problems can include a 4-digit dividend and a 1-digit divisor. Your child will also be learning to divide numbers that yield a remainder. For your child to be successful with long division, it is important that he or she has adequate knowledge of math facts for the four basic operations (addition, subtraction, multiplication and division). For instance, your child will need to know that 8 x 5 = 40 to solve a problem like 45 ÷ 8.

Long Division Steps

When helping your child with long division, you may want to start by reviewing the steps he or she will need to follow. If necessary, write down the following steps so your child can refer to them later.

1. Rewrite the problem so the dividend is inside the long division bracket. In the problem 45 ÷ 2, 45 is the dividend and two is the divisor.

2. Look at the first number of the divided (45). How many times can the divisor go into that number? In our example, two can go into four two times because 2 x 2 = 4. So write two on the line above the four in 45.

3. Then, write the product of 2 x 2 under the four in 45, and subtract: 4 - 4 = 0.

4. Bring down the five in 45 so it is equal with the zero. Now you can start the whole process again.

5. Ask yourself the same question: how many times can the divisor go into the dividend? Two can go into five two times because 2 x 2 = 4. Write two on top of the long division bracket (so you now have the number 22).

6. Write the product of 2 x 2 under the five in 45, and subtract: 5 - 4 = 1.

Now you're done! Because you have a remainder of one, you would write the answer like this: 22 R1. Help your child notice that steps two and three are the same as five and six. That's because you use the same steps (divide, multiply and subtract) over and over again until the problem is solved.

Long Division Practice Problems

1. 949 ÷ 7 =

2. 582 ÷ 3 =

3. 872 ÷ 2 =

4. 4,914 ÷ 8 =

5. 9,718 ÷ 6 =

6. 2,157 ÷ 4 =

7. 6,426 ÷ 5 =

8. 2,177 ÷ 8 =

9. 4,641 ÷ 3 =

10. 2,453 ÷ 7 =

Answers

1. 135 R4

2. 194

3. 436

4. 614 R2

5. 1619 R4

6. 539 R1

7. 1,285 R1

8. 272 R1

9. 1,547

10. 350 R3