#### Answer

$= 3m^{3}n^{2} - 2m + \frac{5n}{4}$

#### Work Step by Step

$\frac{24m^{4}n^{3}-16m^{2}n+10mn^{2}}{8mn}$
$= \frac{2mn(12m^{3}n^{2}-8m+5n)}{2mn(4)}$
$= \frac{12m^{3}n^{2}-8m+5n}{4}$
$= \frac{12m^{3}n^{2}}{4} - \frac{8m}{4} + \frac{5n}{4}$
$= \frac{3m^{3}n^{2}}{1} - \frac{2m}{1} + \frac{5n}{4}$
$= 3m^{3}n^{2} - 2m + \frac{5n}{4}$