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Two-Digit Division Strategies

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Two-Digit Division Strategies

Use estimation, partial quotients, and place-value thinking to solve each division challenge. Show enough work to make your strategy clear. For answers with a remainder, write the remainder.

Plan Your Strategy

A community center is preparing supply kits. Choose efficient strategies and check whether answers are reasonable.

1.The center has 480 pencils to divide equally among 12 kits. Which strategy makes this calculation especially quick, and what is the quotient?

2.Estimate 347 ÷ 18 using compatible numbers. Choose the closest estimate.

About 10, using 300 ÷ 30
About 20, using 360 ÷ 18
About 30, using 540 ÷ 18
About 40, using 720 ÷ 18

3.Put the quotients in order from least to greatest. Use the number line to help you think about their sizes: 144 ÷ 12, 300 ÷ 15, 252 ÷ 14.

Break It Apart

Partial quotients let you subtract easy multiples of the divisor until nothing is left.

4.A shipment contains 756 notebooks. Use partial quotients to solve 756 ÷ 21. Record at least two multiples of 21 that you subtract.

5.There are 468 markers to pack equally into 13 bins. Find 468 ÷ 13 using partial quotients or another place-value strategy. Show your steps and check with multiplication.

6.Estimate 592 ÷ 19 using nearby compatible numbers. Then say whether the exact quotient should be a little greater or a little less than your estimate.

7.Solve 936 ÷ 12 by breaking 936 into friendly parts. Explain how the parts help.

Use Division in Context

Check whether a remainder means extra groups, extra items, or no full group.

8.The center has 675 pencils. Each box holds 25 pencils. How many full boxes can be packed, and how many pencils will be left over?

9.Volunteers place 845 snack packs equally into 24 large cartons. How many full cartons can they fill, and how many snack packs remain?

10.A helper says 638 ÷ 21 = 31 remainder 7. Is the helper's answer reasonable? Choose True or False, then check the division using multiplication and explain.