$\begin{array}{l}\phantom{\phantom{;}4x\phantom{;}-1;}{\phantom{;}2x^{3}-x^{2}-3x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}4x\phantom{;}-1\overline{\smash{)}\phantom{;}8x^{4}-6x^{3}-11x^{2}-x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}4x\phantom{;}-1;}\underline{-8x^{4}+2x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-8x^{4}+2x^{3};}-4x^{3}-11x^{2}-x\phantom{;}-9\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}-1-;x^n;}\underline{\phantom{;}4x^{3}-x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{3}-x^{2}-;x^n;}-12x^{2}-x\phantom{;}-9\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}12x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}12x^{2}-3x\phantom{;}-;x^n-;x^n;}-4x\phantom{;}-9\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}-1-;x^n-;x^n-;x^n;}\underline{\phantom{;}4x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}4x\phantom{;}-1\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-10\phantom{;}\phantom{;}\\\end{array}$

$2x^{3}-x^{2}-3x-1+\frac{-10}{4x-1}$