Divide:

$10\dfrac{5}{7} ÷ 1\dfrac{11}{14}$

Solving,

$\Rightarrow 10\dfrac{5}{7} ÷ 1\dfrac{11}{14}\\[1em] \Rightarrow \dfrac{75}{7} ÷ \dfrac{25}{14}\\[1em] \Rightarrow \dfrac{75}{7} \times \dfrac{14}{25}\\[1em] \Rightarrow \dfrac{75}{25} \times \dfrac{14}{7}\\[1em] \Rightarrow 3 \times 2 \\[1em] \Rightarrow 6.$

Hence, $10\dfrac{5}{7} ÷ 1\dfrac{11}{14} = 6$.