$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x^{6}+2x^{5}+4x^{4}+8x^{3}+18x^{2}+36x\phantom{;}+68\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{7}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+2x^{3}\phantom{-;x^n}-4x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{7}+2x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{7}+2x^{6};}\phantom{;}2x^{6}\phantom{-;x^n}\phantom{-;x^n}+2x^{3}\phantom{-;x^n}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-2x^{6}+4x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-2x^{6}+4x^{5}-;x^n;}\phantom{;}4x^{5}\phantom{-;x^n}+2x^{3}\phantom{-;x^n}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-4x^{5}+8x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-4x^{5}+8x^{4}-;x^n-;x^n;}\phantom{;}8x^{4}+2x^{3}\phantom{-;x^n}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-8x^{4}+16x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;-8x^{4}+16x^{3}-;x^n-;x^n-;x^n;}\phantom{;}18x^{3}\phantom{-;x^n}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n-;x^n;}\underline{-18x^{3}+36x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;;-18x^{3}+36x^{2}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}36x^{2}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-36x^{2}+72x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;;-36x^{2}+72x\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}68x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-68x\phantom{;}+136\phantom{;}\phantom{;}}\\\phantom{;;;;;;-68x\phantom{;}+136\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}141\phantom{;}\phantom{;}\\\end{array}$

$x^{6}+2x^{5}+4x^{4}+8x^{3}+18x^{2}+36x+68+\frac{141}{x-2}$