\[8\frac{3}{4}\ :2\frac{1}{3} = \frac{35}{4}\ :\frac{7}{3} = \frac{35 \cdot 3}{4 \cdot 7} = \frac{5 \cdot 3}{4 \cdot 1} =\]
\[= \frac{15}{4} = 3\frac{3}{4}\text{.\ }\]