$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}2x^{2}-15x\phantom{;}+81\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}2x^{3}-5x^{2}+6x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-2x^{3}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-10x^{2};}-15x^{2}+6x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}15x^{2}+75x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}15x^{2}+75x\phantom{;}-;x^n;}\phantom{;}81x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-81x\phantom{;}-405\phantom{;}\phantom{;}}\\\phantom{;;-81x\phantom{;}-405\phantom{;}\phantom{;}-;x^n-;x^n;}-415\phantom{;}\phantom{;}\\\end{array}$

$2x^{2}-15x+81+\frac{-415}{x+5}$