The inverse relationship between multiplication and division provides a way to verify a quotient: multiplying the divisor by the quotient should reproduce the dividend in an exact division fact. For division with a remainder, the check is divisor × quotient + remainder = dividend, with the remainder less than the divisor; this applies to whole-number problems within 100 and does not extend to larger-number long-division procedures or algebraic generalizations.
To check a division answer, use multiplication because multiplication and division are opposites.
Suppose you solve:
This means:
Check your answer in two steps:
The answer matches the dividend, , so the division is correct.
Also check that the remainder is smaller than the divisor:
Therefore, is correct.
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