$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}-5;}{\phantom{;}m^{2}-3m\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}-5\overline{\smash{)}\phantom{;}m^{3}-8m^{2}+18m\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}-5;}\underline{-m^{3}+5m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-m^{3}+5m^{2};}-3m^{2}+18m\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-5-;x^n;}\underline{\phantom{;}3m^{2}-15m\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3m^{2}-15m\phantom{;}-;x^n;}\phantom{;}3m\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-5-;x^n-;x^n;}\underline{-3m\phantom{;}+15\phantom{;}\phantom{;}}\\\phantom{;;-3m\phantom{;}+15\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}22\phantom{;}\phantom{;}\\\end{array}$

$m^{2}-3m+3+\frac{22}{m-5}$