$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}9x^{5}+18x^{4}+35x^{3}+70x^{2}+143x\phantom{;}+286\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}9x^{6}\phantom{-;x^n}-x^{4}\phantom{-;x^n}+3x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-9x^{6}+18x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-9x^{6}+18x^{5};}\phantom{;}18x^{5}-x^{4}\phantom{-;x^n}+3x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-18x^{5}+36x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-18x^{5}+36x^{4}-;x^n;}\phantom{;}35x^{4}\phantom{-;x^n}+3x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-35x^{4}+70x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-35x^{4}+70x^{3}-;x^n-;x^n;}\phantom{;}70x^{3}+3x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-70x^{3}+140x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;-70x^{3}+140x^{2}-;x^n-;x^n-;x^n;}\phantom{;}143x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n-;x^n;}\underline{-143x^{2}+286x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;-143x^{2}+286x\phantom{;}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}286x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-286x\phantom{;}+572\phantom{;}\phantom{;}}\\\phantom{;;;;;-286x\phantom{;}+572\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}574\phantom{;}\phantom{;}\\\end{array}$

$9x^{5}+18x^{4}+35x^{3}+70x^{2}+143x+286+\frac{574}{x-2}$