Division facts, step by step
Division clicks when a child realizes it is multiplication asked backwards.
The question
12 ÷ 4
12÷4
4×?=12
4×3=12
12÷4=3
3×4=12
- 12 ÷ 4 means sharing 12 out equally between 4. Deal them round one at a time until they run out; the answer is how many end up in one share.
- Dealing out 12 one at a time works, and takes all day. The shortcut is the same fact read backwards: 4 shares of WHAT makes 12?
- 4 × 3 = 12. That is the one, so 12 ÷ 4 = 3.
- Worth checking, because it costs one multiplication: 3 × 4 = 12. It matches, so the answer holds.
How it works.
- 01
12 ÷ 4 means sharing 12 out equally between 4. Deal them round one at a time until they run out; the answer is how many end up in one share.
- 02
Dealing out 12 one at a time works, and takes all day. The shortcut is the same fact read backwards: 4 shares of WHAT makes 12?
- 03
4 × 3 = 12. That is the one, so 12 ÷ 4 = 3.
- 04
Worth checking, because it costs one multiplication: 3 × 4 = 12. It matches, so the answer holds.