When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.
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Dividing fractions invole multiplacation because you can use it too see how many time's a number goes into another answer. And that is why dividing involves multiplacation.
It is often useful to convert division into multiplication, by inverting the fraction; dividing by 2/3 is the same as multiplying by 3/2.
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Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.
When dividing numbers (or variables) subtract the exponents. Remember, an exponent indicates a kind of multiplication, it is the number of times that a number is multiplied by itself. If you are dividing by that same number, then clearly you are multiplying it by itself a fewer number of times. Division is the inverse function of multiplication.