$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}4x^{3}-5x^{2}+4x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}4x^{4}-13x^{3}+14x^{2}-7x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-4x^{4}+8x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{4}+8x^{3};}-5x^{3}+14x^{2}-7x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{\phantom{;}5x^{3}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{3}-10x^{2}-;x^n;}\phantom{;}4x^{2}-7x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-4x^{2}+8x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-4x^{2}+8x\phantom{;}-;x^n-;x^n;}\phantom{;}x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;;;-x\phantom{;}+2\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-8\phantom{;}\phantom{;}\\\end{array}$

$4x^{3}-5x^{2}+4x+1+\frac{-8}{x-2}$