Express the following as a recurring decimal :

$\dfrac{2}{13}$

By actual division, we get:

$\begin{array}{r} 0.153846… \ 13 \overline{\smash{)} 2.000000 } \ \underline{13} \phantom{.00000} \ 70 \phantom{.0000} \ \underline{65} \phantom{.0000} \ 50 \phantom{.000} \ \underline{39} \phantom{.000} \ 110 \phantom{.00} \ \underline{104} \phantom{.00} \ 60 \phantom{.0} \ \underline{52} \phantom{.0} \ 80 \phantom{} \ \underline{78} \phantom{} \ 2 \phantom{} \end{array}$

∴ $\dfrac{2}{13} = 0.153846153846… = 0.\overline{153846}$