Evaluate:

$-5 ÷ \Big(-\dfrac{10}{11}\Big)$

$-5 ÷ -\dfrac{10}{11}\\[1em] = -5 \times -\dfrac{11}{10}\\[1em] = \dfrac{5 \times 11}{1 \times 10}\\[1em] = \dfrac{55}{10}\\[1em] = \dfrac{11}{2}\\[1em] = 5\dfrac{1}{2}$

Hence, $-5 ÷ \Big(-\dfrac{10}{11}\Big) = 5\dfrac{1}{2}$