$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}3x^{3}-2x^{2}-4x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}3x^{4}-8x^{3}\phantom{-;x^n}+9x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-3x^{4}+6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}+6x^{3};}-2x^{3}\phantom{-;x^n}+9x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{\phantom{;}2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{3}-4x^{2}-;x^n;}-4x^{2}+9x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}4x^{2}-8x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}4x^{2}-8x\phantom{;}-;x^n-;x^n;}\phantom{;}x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;;;-x\phantom{;}+2\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}7\phantom{;}\phantom{;}\\\end{array}$

$3x^{3}-2x^{2}-4x+1+\frac{7}{x-2}$