\[\frac{98m^{8}}{p^{17}}\ :\left( 49m^{5}p^{2} \right) =\]
\[= \frac{98m^{8}}{p^{17}} \cdot \frac{1}{49m^{5}p^{2}} = \frac{2m^{3}}{p^{19}}.\]