$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}-2;}{\phantom{;}3m^{2}-10m\phantom{;}-57\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}-2\overline{\smash{)}\phantom{;}3m^{3}-16m^{2}-37m\phantom{;}-14\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}-2;}\underline{-3m^{3}+6m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3m^{3}+6m^{2};}-10m^{2}-37m\phantom{;}-14\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n;}\underline{\phantom{;}10m^{2}-20m\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}10m^{2}-20m\phantom{;}-;x^n;}-57m\phantom{;}-14\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}57m\phantom{;}-114\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}57m\phantom{;}-114\phantom{;}\phantom{;}-;x^n-;x^n;}-128\phantom{;}\phantom{;}\\\end{array}$

$3m^{2}-10m-57+\frac{-128}{m-2}$