$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}5x^{3}+13x^{2}+26x\phantom{;}+52\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}5x^{4}+3x^{3}\phantom{-;x^n}\phantom{-;x^n}-25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-5x^{4}+10x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{4}+10x^{3};}\phantom{;}13x^{3}\phantom{-;x^n}\phantom{-;x^n}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-13x^{3}+26x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-13x^{3}+26x^{2}-;x^n;}\phantom{;}26x^{2}\phantom{-;x^n}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-26x^{2}+52x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-26x^{2}+52x\phantom{;}-;x^n-;x^n;}\phantom{;}52x\phantom{;}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-52x\phantom{;}+104\phantom{;}\phantom{;}}\\\phantom{;;;-52x\phantom{;}+104\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}79\phantom{;}\phantom{;}\\\end{array}$

$5x^{3}+13x^{2}+26x+52+\frac{79}{x-2}$