Express the following as a recurring decimal :

$\dfrac{22}{7}$

By actual division, we get:

$\begin{array}{r} 3.142857… \ 7 \overline{\smash{)} 22.000000 } \ \underline{21} \phantom{.00000} \ 10 \phantom{.0000} \ \underline{7} \phantom{.0000} \ 30 \phantom{.000} \ \underline{28} \phantom{.000} \ 20 \phantom{.00} \ \underline{14} \phantom{.00} \ 60 \phantom{.0} \ \underline{56} \phantom{.0} \ 40 \phantom{} \ \underline{35} \phantom{} \ 50 \phantom{} \ \underline{49} \phantom{} \ 1 \phantom{} \end{array}$

∴ $\dfrac{22}{7} = 3.14285714… = 3.\overline{142857}$