5th Grade Long Division Problems with Solutions

How Is 5th Grade Long Division Different Than 4th Grade Long Division?

Long division is the process of breaking down a division problem into smaller division problems, thus making it easier to solve. Though long division can be used for simple problems, such as 24 ÷ 3, it's more often employed for problems involving multi-digit divisors (the number by which another number is being divided).

Kids typically are introduced to long division in 4th grade with problems that have 1-digit divisors and 2-digit dividends (the number being divided), such as 32 ÷ 8. This problem isn't too difficult to solve because the divisor (8) evenly divides into the dividend (32), so the answer, or quotient, is 4.

Long division problems for 5th graders can be much more challenging because they typically include 2-digit divisors. In addition, students learn to estimate quotients to the nearest hundredths place. For example, a typical 5th grade long-division problem might look like this: 74 ÷ 12. The answer, rounded to the nearest hundredth, is 6.17.

If you want to write long division problems for your 5th grader to practice at home, be sure to include both numerical problems and word problems. The latter are important because they require your child to think independently about how to solve the problem. In addition, be sure that the problems are formatted correctly. The dividend goes under the long division sign, and the divisor goes on the outside.

Long Division Problems and Solutions

1. 93 ÷ 31

The answer is 3. One way your child can check his or answer is to use multiplication (31 x 3 = 93).

2. 101 ÷ 11

Because 11 doesn't evenly divide into 101, there's going to be a remainder with this problem. The answer is 9 with a remainder of 2, which is often written as 9 R2.

3. 1,500 ÷ 5

Students may be intimidated when they see large numbers in a long division problem. However, you can help your child gain confidence by starting with simple problems like this one, which can be evenly divided. The answer is 300.

4. Mary wants to learn 100 new words by the end of the month. If there are 28 days in the month, how many words does Mary have to learn each day? Round your answer to the nearest hundredth.

To solve, divide 100 by 28 (100 ÷ 28), which, rounded to the nearest hundredth, is 3.57. So, Mary would have to learn about 4 words every day to reach her goal.