\[\frac{3}{24}:\frac{3}{64}=\frac{3}{24}\cdot\frac{64}{3}=\frac{8}{3}.\]
\[\frac{8}{3}-\frac{3}{4}=\frac{32}{12}-\frac{9}{12}=\frac{23}{12}=1\frac{11}{12}.\]
Ответ: \(1\frac{11}{12}\).