Division learning path

Splitting Dividends: Divide Parts, Then Combine

When the dividend can be split into friendly multiples of the divisor, divide each part separately. The partial quotients add to the full quotient.

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The strategy

How it works

  1. Break the dividend into two easy parts divisible by the divisor.

  2. Divide each part by the same divisor.

  3. Add the partial quotients.

See it in action

Worked examples

Example 196 ÷ 6
  1. Split 96 into 60 + 36.
  2. 60 ÷ 6 = 10 and 36 ÷ 6 = 6.
  3. 10 + 6 = 16.

Answer: 16

Example 284 ÷ 4
  1. Split 84 into 80 + 4.
  2. 80 ÷ 4 = 20 and 4 ÷ 4 = 1.
  3. 20 + 1 = 21.

Answer: 21

A quick heads-up

Common mistakes to avoid

  • Splitting into parts that are not divisible by the divisor; choose convenient multiples.
  • Subtracting partial quotients rather than adding the groups from each part.

Your turn

Check your understanding

Choose an answer to see instant feedback and a short explanation. You can take the quiz again any time.

Question 1 of 3

What is 88 ÷ 4?

Keep the momentum

Try a few practice problems

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