6 2/3 divided by 3 1/8

Find a nice common denominator. Multiplying the denominators from the different fractions will always work. In this case, 3 * 8 = 24.

Convert 6 2/3 to some number over 24.
Hint: 6 2/3 = 160/24

Convert 3 1/8 to some number over 24.

Write a fraction where the new 6 2/3 value is on top and the new 3 1/8 is on bottom. It will be something like this:
(160/24) / (???/24)

The 24's in the numerator and denominator fractions cancel, leaving...
160 / ???

Reduce the fraction as much as possible.