Answer
$\frac{4}{31}$
Work Step by Step
= $\frac{2}{3}\div5\frac{1}{6}$
= $\frac{2}{3}\div\frac{5\times6+1}{6}$
= $\frac{2}{3}\div\frac{31}{6}$
= $\frac{2}{3}\times\frac{6}{31}$ (division of fractions is multiplication by the reciprocal of the second fraction)
= $\frac{2}{1}\times\frac{2}{31}$
= $\frac{4}{31}$
