Divide:

$9\dfrac{4}{5} ÷ 3\dfrac{23}{25}$

Solving,

$\Rightarrow 9\dfrac{4}{5} ÷ 3\dfrac{23}{25}\\[1em] \Rightarrow \dfrac{49}{5} ÷ \dfrac{98}{25}\\[1em] \Rightarrow \dfrac{49}{5} \times \dfrac{25}{98}\\[1em] \Rightarrow \dfrac{49}{98} \times \dfrac{25}{5} \\[1em] \Rightarrow \dfrac{1}{2} \times 5 \\[1em] \Rightarrow \dfrac{5}{2} \\[1em] \Rightarrow 2\dfrac{1}{2}.$

Hence, $9\dfrac{4}{5} ÷ 3\dfrac{23}{25} = 2\dfrac{1}{2}$.