Divide:

$7\dfrac{5}{9} ÷ 34$

$\Rightarrow 7\dfrac{5}{9} ÷ 34\\[1em] \Rightarrow \dfrac{68}{9} ÷ 34\\[1em] \Rightarrow \dfrac{68}{9} \times \dfrac{1}{34}\\[1em] \Rightarrow \dfrac{68}{34} \times \dfrac{1}{9} \\[1em] \Rightarrow 2 \times \dfrac{1}{9} \\[1em] \Rightarrow \dfrac{2}{9}.$

Hence, $7\dfrac{5}{9} ÷ 34 = \dfrac{2}{9}$.