Divide:

$5\dfrac{7}{10} ÷ 3\dfrac{1}{6}$

Solving,

$\Rightarrow 5\dfrac{7}{10} ÷ 3\dfrac{1}{6}\\[1em] \Rightarrow \dfrac{57}{10} ÷ \dfrac{19}{6}\\[1em] \Rightarrow \dfrac{57}{10} \times \dfrac{6}{19}\\[1em] \Rightarrow \dfrac{57}{19} \times \dfrac{6}{10} \\[1em] \Rightarrow 3 \times \dfrac{3}{5}\\[1em] \Rightarrow \dfrac{9}{5}\\[1em] \Rightarrow 1\dfrac{4}{5}.$

Hence, $5\dfrac{7}{10} ÷ 3\dfrac{1}{6} = 1\dfrac{4}{5}$.