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Division How-To Guide

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Division How-To Guide

Use the worked example to review long division. Show your steps for each problem, then check by multiplying the quotient by the divisor. If there is a remainder, it must be smaller than the divisor.

A worked example: 589 ÷ 31

Estimate how many times 31 fits into 58. Since 31 × 1 = 31 and 31 × 2 = 62, begin with 1. Subtract 58 − 31 = 27, then bring down the 9 to make 279. Next, 31 × 9 = 279. Subtract to get 0. The quotient is 19, so 589 ÷ 31 = 19. Check: 19 × 31 = 589.

Review the method

For each place in the quotient, estimate, multiply, subtract, and bring down the next digit. If a trial product is too large, choose a smaller factor.

1.What is a sensible first move when solving 684 ÷ 36 with long division?

Estimate how many times 36 fits into the first part of the dividend
Bring down the last digit before subtracting
Subtract 36 from 684 repeatedly without estimating
Multiply 684 by 36

2.You are dividing by 27. Your trial quotient digit is 4, but 27 × 4 is greater than the number you are dividing. What should you try next?

Try 27 × 5
Try 27 × 3
Bring down two digits
Keep 4 and ignore the product

3.Match each long-division action with what happens next.

Estimate
Multiply
Subtract
Bring down

Find the product of the divisor and quotient digit
Add the next dividend digit to the remainder
Find what remains in the current part
Choose a likely quotient digit

Work through the problems

Use long division. Write each quotient and remainder, if there is one. Check your result with multiplication.

4.Solve 416 ÷ 16. Show your long-division steps.

5.Solve 644 ÷ 28. Show your long-division steps.

6.Solve 731 ÷ 24. Give the quotient and remainder.

7.A library packs 552 books equally into 24 boxes. How many books go in each box?

8.Check the result 27 for 648 ÷ 24 by multiplying 27 × 24. Does the product confirm the quotient?

9.Find the quotient and remainder for 587 ÷ 32. Then state whether the remainder is smaller than the divisor.

10.Select every division problem for which trying a quotient digit of 2 in the first step is reasonable: 91 ÷ 43, 87 ÷ 41, 78 ÷ 26, 95 ÷ 47.

91 ÷ 43
87 ÷ 41
78 ÷ 26
95 ÷ 47

11.A student says that 695 ÷ 30 is 22 remainder 35. Is the remainder valid? If not, give the correct quotient and remainder.

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More Mathematics Worksheets

6th Grade

Division How-To Guide

Division How-To Guide

A worked example: 589 ÷ 31

Review the method

Work through the problems

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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