$\begin{array}{l}\phantom{\phantom{;}4m^{10}+9;}{\phantom{;}2\phantom{;}\phantom{;}}\\\phantom{;}4m^{10}+9\overline{\smash{)}\phantom{;}8m^{10}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}4m^{10}+9;}\underline{-8m^{10}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-18\phantom{;}\phantom{;}}\\\phantom{-8m^{10}-18\phantom{;}\phantom{;};}-18\phantom{;}\phantom{;}\\\end{array}$

$2+\frac{-18}{4m^{10}+9}$