# Division Problems for Children: Practice Problems for Easy and Hard Division

Division is a fundamental concept that will reappear throughout your child's study of math. You can help him or her gain a solid foundation by practicing both easy and hard division problems at home.

## What Division Concepts Is My Child Studying?

Division with single-digit divisors typically is introduced to students in 3rd grade. By the end of 5th grade, your child likely will have advanced to division with multiple-digit dividends and divisors, as well as long division and division with fractions. Your child may find it difficult to complete long division problems without the aid of a calculator, but encouraging him or her to solve them without the crutch of technology will benefit your child in the long run.

If your child needs additional practice with division, you can create practice problems at home based on the samples below. Make sure you're reinforcing concepts that your child is learning in school. Having to solve problems that are too advanced may be stressful for him or her.

## Sample Division Problems

### Beginning Division

1. 18 ÷ 6 (Answer: 3)

2. 9 ÷ 3 (Answer: 3)

3. 28 ÷ 4 (Answer: 7)

4. 99 ÷ 11 (Answer: 9)

5. There are 42 pieces of candy and 7 people. How many pieces of candy can each person have?

To answer this word problem, your child should set up the equation 42 ÷ 7 = 6. Each person can have 6 pieces of candy.

### Long Division

Long division problems may be particularly difficult for your child when numbers don't evenly divide. If your child needs a challenge, include problems that use multi-digit numbers, decimals and/or remainders.

1. 225 ÷ 5

Make sure your child is formatting long division problems correctly. For this problem, 225 should go under the long division sign, and 5 should go to the left of the sign. The answer, 45, should be written atop the sign.

2. 310 ÷ 4

This problem will have a remainder. Your child should begin by figuring out how many times 4 can factor into 310. Because 4 times 77 is 308, the answer to this problem is 77 with a remainder of 2, or 77 R2.

3. 444 ÷ 12

This problem may be a challenge for your child since the divisor is a 2-digit number. However, it factors in neatly, without a remainder. The answer is 37.

4. Max spent \$180 on jeans. If each pair cost \$30, how many pairs of jeans did he buy?

Max bought 6 pairs of jeans because 180 ÷ 30 = 6.

### Fractions

To divide fractions, the second fraction must be flipped upside down, making it a reciprocal. Then, your child can multiply the numerators and denominators. For instance, the problem 1/3 ÷ 2/5 would look like this: 1/3 x 5/2 = 5/6.

1. 2/5 ÷ 7/1 (Answer: 2/35)

2. 6/9 ÷ 4/3 (Answer: 18/36, which can be reduced to 1/2)

3. 8/2 ÷ 3/2 (Answer: 16/6, which can be reduced to 8/3)

4. 5/2 ÷ 3/5 (Answer: 25/6)

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