$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}7x^{3}+23x^{2}+49x\phantom{;}+100\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}7x^{4}+9x^{3}+3x^{2}+2x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-7x^{4}+14x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-7x^{4}+14x^{3};}\phantom{;}23x^{3}+3x^{2}+2x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-23x^{3}+46x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-23x^{3}+46x^{2}-;x^n;}\phantom{;}49x^{2}+2x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-49x^{2}+98x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-49x^{2}+98x\phantom{;}-;x^n-;x^n;}\phantom{;}100x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-100x\phantom{;}+200\phantom{;}\phantom{;}}\\\phantom{;;;-100x\phantom{;}+200\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}201\phantom{;}\phantom{;}\\\end{array}$

$7x^{3}+23x^{2}+49x+100+\frac{201}{x-2}$