$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}5x^{3}+10x^{2}+17x\phantom{;}+36\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}5x^{4}\phantom{-;x^n}-3x^{2}+2x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-5x^{4}+10x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{4}+10x^{3};}\phantom{;}10x^{3}-3x^{2}+2x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-10x^{3}+20x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-10x^{3}+20x^{2}-;x^n;}\phantom{;}17x^{2}+2x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-17x^{2}+34x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-17x^{2}+34x\phantom{;}-;x^n-;x^n;}\phantom{;}36x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-36x\phantom{;}+72\phantom{;}\phantom{;}}\\\phantom{;;;-36x\phantom{;}+72\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}66\phantom{;}\phantom{;}\\\end{array}$

$5x^{3}+10x^{2}+17x+36+\frac{66}{x-2}$