Divide $\frac{a^{6}b^{7}}{c^{10}}$ by $\frac{a^{5}b^{11}}{c^{7}}$ by multiplying $\frac{a^{6}b^{7}}{c^{10}}$ by the reciprocal of $\frac{a^{5}b^{11}}{c^{7}}$.
$$\frac{a^{6}b^{7}c^{7}}{c^{10}a^{5}b^{11}}$$
Cancel out $a^{5}b^{7}c^{7}$ in both numerator and denominator.