$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}-1;}{\phantom{;}9x^{2}-6x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}-1\overline{\smash{)}\phantom{;}27x^{3}-27x^{2}+9x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}-1;}\underline{-27x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-27x^{3}+9x^{2};}-18x^{2}+9x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-1-;x^n;}\underline{\phantom{;}18x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}18x^{2}-6x\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-1-;x^n-;x^n;}\underline{-3x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;;-3x\phantom{;}+1\phantom{;}\phantom{;}-;x^n-;x^n;}-3\phantom{;}\phantom{;}\\\end{array}$

$9x^{2}-6x+1+\frac{-3}{3x-1}$