\[6\frac{10}{13}\ :1\frac{5}{39} = \frac{88}{13}\ :\frac{44}{39} = \frac{88}{13} \cdot \frac{39}{44} =\]
\[= \frac{2 \cdot 44 \cdot 13 \cdot 3}{13 \cdot 44} = 6\]