Answer
$$\frac{1}{3}$$
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ \frac{2}{x-5}\times \frac{x-5}{6}\\ \frac{2}{6}\\ \frac{1}{3}$$