Express the following as a recurring decimal :

$\dfrac{1}{37}$

By actual division, we get:

$\begin{array}{r} 0.027027… \ 37 \overline{\smash{)} 1.000000 } \ \underline{0} \phantom{.00000} \ 100 \phantom{.0000} \ \underline{74} \phantom{.0000} \ 260 \phantom{.000} \ \underline{259} \phantom{.000} \ 10 \phantom{.00} \ \underline{0} \phantom{.00} \ 100 \phantom{.0} \ \underline{74} \phantom{.0} \ 26 \phantom{} \end{array}$

∴ $\dfrac{1}{37} = 0.027027… = 0.\overline{027}$