$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}4x^{2}+4x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}4x^{3}\phantom{-;x^n}-7x\phantom{;}+30\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-4x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}+4x^{2};}\phantom{;}4x^{2}-7x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-4x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{;-4x^{2}+4x\phantom{;}-;x^n;}-3x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}-3\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}27\phantom{;}\phantom{;}\\\end{array}$

$4x^{2}+4x-3+\frac{27}{x-1}$