$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-4;}{\phantom{;}3x^{2}-5x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-4\overline{\smash{)}\phantom{;}3x^{3}-17x^{2}+27x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-4;}\underline{-3x^{3}+12x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}+12x^{2};}-5x^{2}+27x\phantom{;}+18\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n;}\underline{\phantom{;}5x^{2}-20x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{2}-20x\phantom{;}-;x^n;}\phantom{;}7x\phantom{;}+18\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n-;x^n;}\underline{-7x\phantom{;}+28\phantom{;}\phantom{;}}\\\phantom{;;-7x\phantom{;}+28\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}46\phantom{;}\phantom{;}\\\end{array}$

$3x^{2}-5x+7+\frac{46}{x-4}$