You have to multiple by the reciprocal.

(5/8) / (15/16) = (5/8)(16/15) = (80/120) = 2/3
You can not divide fractions so you must flip the second fraction around and multiply:

5/8 x 16/15

Now simply multiply the top and bottom numbers into each other:

80/120

Simplify the fraction as much as possible:

2/3

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You can also simplify the fractions before multiplying (remember you can only simplify vertically or diagonally, NEVER horizontally):

5/8 x 16/15

Simplify the 8 and 16:

5/1 x 2/15

Simplify the 15 and 5:

1/1 x 2/3

2/3
80/120=2/3

what is 5/8 divided by 15/16″?