The strategy
How it works
Break the dividend into two easy parts divisible by the divisor.
Divide each part by the same divisor.
Add the partial quotients.
See it in action
Worked examples
Example 196 ÷ 6
- Split 96 into 60 + 36.
- 60 ÷ 6 = 10 and 36 ÷ 6 = 6.
- 10 + 6 = 16.
Answer: 16
Example 284 ÷ 4
- Split 84 into 80 + 4.
- 80 ÷ 4 = 20 and 4 ÷ 4 = 1.
- 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?
Split 88 into 80 + 8: 20 + 2 = 22.
What is 75 ÷ 5?
50 ÷ 5 = 10 and 25 ÷ 5 = 5; 10 + 5 = 15.
Which split makes 72 ÷ 8 easy?
Both 40 and 32 divide evenly by 8, giving 5 + 4 = 9.
Keep the momentum
Try a few practice problems
Choose a comfortable range and work through a short round with the free mental math trainer.