Express $\dfrac{6}{7}$ as a decimal, correct to 2 decimal places.

By actual division, we get:

$\begin{array}{r} 0.857… \ 7 \overline{\smash{)} 6.000 } \ \underline{56} \phantom{.00} \ 40 \phantom{.0} \ \underline{35} \phantom{.0} \ 50 \phantom{} \ \underline{49} \phantom{} \ 1 \phantom{} \end{array}$

The given number up to 2 decimal places is 0.85

The third decimal place is 7 > 5

So, we increase the 2nd decimal place by 1.

∴ $\dfrac{6}{7}$ correct to 2 decimal places is 0.86