$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}7x^{3}+2x^{2}+10x\phantom{;}+16\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}7x^{4}-12x^{3}+6x^{2}-4x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-7x^{4}+14x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-7x^{4}+14x^{3};}\phantom{;}2x^{3}+6x^{2}-4x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-2x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-2x^{3}+4x^{2}-;x^n;}\phantom{;}10x^{2}-4x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-10x^{2}+20x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-10x^{2}+20x\phantom{;}-;x^n-;x^n;}\phantom{;}16x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-16x\phantom{;}+32\phantom{;}\phantom{;}}\\\phantom{;;;-16x\phantom{;}+32\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}25\phantom{;}\phantom{;}\\\end{array}$

$7x^{3}+2x^{2}+10x+16+\frac{25}{x-2}$