Fraction division is basically multiplication of a reciprocal.
For example (1/4)/(1/8) = (1/4)x(8/1)=2
Multiplication of the answer and the piece that divides (in this case 2 x 1/8), you should get the piece that is being divided (in this case 1/4). If that is correct, then your division is correct.
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.