Ray's New Practical Arithmetic · Art. 42 (problems) · Unit 5: Division

22. Long division practice and review

Goal: Your child does long division accurately with large divisors and solves review problems mixing all four operations.

⏱ About 35 minutes · 7 steps

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You'll need

  • The book
  • A slate, small whiteboard or scrap paper
  • A notebook and pencil

What's in the book

More long-division problems with answers, then "Examples for Review" (problems 41 to 52) that combine subtraction, addition and division.

The lesson, step by step

  1. Warm-up

    Mental: 12 × 25? 300 ÷ 12? 1000 ÷ 8?

  2. Guided practice

    Do this one together:

    Divide 48905952 by 9876. 4952.

    Before starting, estimate: about 49 million ÷ 10 thousand is about 4900. The answer should be near that.

  3. Estimate first

    SayWhen the divisor is big, round it to guess each quotient figure, then check by multiplying.

    Read:

    Divide 4049160 by 12345. 328.

  4. Review problems

    Read the first review example:

    Subtract 86247 from 94231 and divide the remainder by 16. 499.

    Do it together: 94231 − 86247 = 7984; 7984 ÷ 16 = 499.

  5. Independent practice

    Your child does three or four of the long-division problems and three or four review problems.

  6. Check

    Answers are printed for these. Prove any wrong one by multiplying back to find the slip.

  7. Wrap-up

    Mental: 250 ÷ 25? 1200 ÷ 12? 640 ÷ 16?

Afterwards

Spread the rest of these over the week, two or three a day.

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