Why is the quotient larger than the dividend when dividing by a unit fraction?

Rules for dividing by a fraction are multiply by the reciprocal. The reciprocal of a unit fraction is a whole number. Multiplying by a whole number will make the answer (quotient) larger.

ex unit fraction 1/a

7 divided by 1/a = 7 x a/1 = 7a .... a times larger than 7.