The strategy
How it works
Write down the quotient you found.
Multiply it by the divisor.
Confirm the product equals the dividend (and account for any remainder).
See it in action
Worked examples
Example 1Check 72 ÷ 8 = 9
- Multiply the quotient by the divisor: 9 × 8.
- 9 × 8 = 72.
- The product matches, so the answer checks out.
Answer: 9
Example 2Check 91 ÷ 7 = 13
- Multiply: 13 × 7.
- 10 × 7 = 70; 3 × 7 = 21.
- 70 + 21 = 91, so 13 is correct.
Answer: 13
A quick heads-up
Common mistakes to avoid
- Multiplying by the quotient instead of the divisor; use quotient × divisor.
- Checking only the size of the answer; calculate the product to verify it exactly.
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
How do you check 56 ÷ 7 = 8?
Multiply quotient × divisor: 8 × 7 should equal the dividend 56.
Does 81 ÷ 9 = 8 pass the multiply-back check?
8 × 9 = 72, not 81, so the quotient 8 is incorrect.
What is the check for 63 ÷ 7 = 9?
Multiply 9 by 7. Since the product is 63, the quotient checks out.
Keep the momentum
Try a few practice problems
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