So say you want to find the length of a rectangle who's area is 6, and the width is 2. You can divide the area by the width to find the length. 6/2 = 3.
Check: 2 * 3 = 6.
Back to the original question: 8 3/4 ÷ 3 2/3.
Improper fractions: 35/4 ÷ 11/3.
Switch division to multiplication and reciprocal: 35/4 * 3/11.