Often, you will find your calculator is your friend when working problems like these.
If you want to work it by hand, convert all mixed numbers to improper fractions. Then multiply the numerator by the reciprocal (inverse) of the denominator.
= (5/2)/(5/8) . . . . convert numerator to improper fraction
= (5/2)*(8/5) . . . . invert the denominator and multiply
= (5/5)*(8/2) . . . . rearrange to aid simplification
= 4
The quotient is 4.