$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}-2;}{\phantom{;}2m^{3}+4m^{2}+5m\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}-2\overline{\smash{)}\phantom{;}2m^{4}\phantom{-;x^n}-3m^{2}\phantom{-;x^n}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}-2;}\underline{-2m^{4}+4m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2m^{4}+4m^{3};}\phantom{;}4m^{3}-3m^{2}\phantom{-;x^n}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n;}\underline{-4m^{3}+8m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-4m^{3}+8m^{2}-;x^n;}\phantom{;}5m^{2}\phantom{-;x^n}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n-;x^n;}\underline{-5m^{2}+10m\phantom{;}\phantom{-;x^n}}\\\phantom{;;-5m^{2}+10m\phantom{;}-;x^n-;x^n;}\phantom{;}10m\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-10m\phantom{;}+20\phantom{;}\phantom{;}}\\\phantom{;;;-10m\phantom{;}+20\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}25\phantom{;}\phantom{;}\\\end{array}$

$2m^{3}+4m^{2}+5m+10+\frac{25}{m-2}$