The inverse relationship between multiplication and division means that a division equation can be verified by multiplying the divisor by the quotient; for exact division, this product equals the dividend. When a remainder occurs, the complete relationship is dividend = divisor × quotient + remainder, with the remainder nonnegative and less than the divisor. The focus is whole-number division; decimal, negative-number, and symbolic generalizations are outside this scope.
To check a division problem, use multiplication:
Example:
Here:
Check the answer:
The result is , which matches the dividend, so the division is correct.
Also, the remainder must be less than the divisor. Since , the remainder is valid.
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