Examples of Division Problems with Answers

As students progress from elementary to middle school, they learn more complicated division concepts. If your child needs extra help with division, you can provide him or her with practice problems at home. Keep reading for sample problems and solutions.

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What Division Concepts Is My Child Learning?

In third grade, students are introduced to basic division facts involving numbers between 0-100, so a typical division problem might look like this: 25 ÷ 5 = 5. By fourth and fifth grade, your child should be using long division to solve problems with larger numbers and remainders. A sample problem might be 73 ÷ 12 = 6 R1.

Middle school students learn to divide fractions and to use division to solve complex expressions. For example, your child might be asked to solve for the variable in this equation: 4x = 24. To do so, he or she must isolate x by dividing both sides by 4. The answer is x = 6.

Division Problems and Solutions

Elementary School

1. 36 ÷ 6

The answer to this problem is 6. You might point out to your child that he or she can use multiplication to check his or her answers. For instance, 36 ÷ 6 = 6, and 6 x 6 = 36.

2. 308 ÷ 14

Be sure your child formats this problem correctly. The dividend, 308, should go inside the long division sign, and the divisor, 14, should go on the outside. The quotient, or answer, is 22.

3. 44 ÷ 9

This problem does not evenly divide, which means it will have a remainder. The answer is 4 with a remainder of 8, which can be written 4 R8.

4. Identify the dividend, divisor and quotient in the following problem: 16 ÷ 3 = 8.

It's important that students know crucial math terms like these. In this problem, the dividend is 16, the divisor is 3, and the quotient is 8.

Middle School

1. 3/7 ÷ 8/2

When dividing fractions, your child must first turn the second fraction into a reciprocal. Then, he or she should multiply the two fractions together.
In this particular problem, 8/2 becomes 2/8, so the equation should look like this: 3/7 x 2/8. Your child should multiply the numerators (3 x 2 = 6) and the denominators (7 x 8 = 56). The answer is 6/56, which can be reduced to 3/28.

2. 8/13 ÷ 1/7

Make sure your child turns the second fraction into a reciprocal (1/7 turns into 7/1). The answer is 56/13.

3. 42 ÷ -6

In middle school, students learn to work with negative numbers. Because the divisor is negative, the quotient must also be negative. The answer is -7.
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