$$3\frac{6}{7}:\frac{1}{3}=\frac{27}{7}:\frac{1}{3}=\frac{27}{7}\cdot \frac{3}{1}=\frac{27\cdot 3}{7}=\frac{81}{7}=11\frac{4}{7}$$
Ответ: $$11\frac{4}{7}$$