$$39:9\frac{3}{5}=39:\frac{9 \cdot 5 + 3}{5}=39:\frac{45+3}{5}=39:\frac{48}{5}=39 \cdot \frac{5}{48}=\frac{39 \cdot 5}{48}=\frac{195}{48}=\frac{65}{16}=4\frac{1}{16}$$
Ответ: $$4\frac{1}{16}$$