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Dividing by 11, step by step

For most of this table the answer is written on the front of the question.

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The question

121 ÷ 11

121÷11
11×?=121
11×11=121
121÷11=11
11×11=121
  1. 121 ÷ 11 means sharing 121 out equally between 11. Deal them round one at a time until they run out; the answer is how many end up in one share.
  2. Dealing out 121 one at a time works, and takes all day. The shortcut is the same fact read backwards: 11 shares of WHAT makes 121?
  3. 11 × 11 = 121. That is the one, so 121 ÷ 11 = 11.
  4. Worth checking, because it costs one multiplication: 11 × 11 = 121. It matches, so the answer holds.

How it works.

  1. 01

    121 ÷ 11 means sharing 121 out equally between 11. Deal them round one at a time until they run out; the answer is how many end up in one share.

  2. 02

    Dealing out 121 one at a time works, and takes all day. The shortcut is the same fact read backwards: 11 shares of WHAT makes 121?

  3. 03

    11 × 11 = 121. That is the one, so 121 ÷ 11 = 11.

  4. 04

    Worth checking, because it costs one multiplication: 11 × 11 = 121. It matches, so the answer holds.

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