Divide :

1 ÷ $6\dfrac{2}{3}$

We have:

$\begin{array}{ll} \phantom{=} 1 ÷ 6\dfrac{2}{3} \\ = 1 ÷ \dfrac{20}{3} & \text{[Converting mixed to improper fraction]} \\ = 1 \times \dfrac{3}{20} & [\text{Reciprocal of } \dfrac{20}{3} \text{ is } \dfrac{3}{20}] \\ = \dfrac{1}{1} \times \dfrac{3}{20} \\ = \dfrac{1 \times 3}{1 \times 20} \\ = \dfrac{3}{20} \\ \end{array}$

∴ The answer is $\dfrac{3}{20}$