$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+1;}{\phantom{;}2x^{2}-7x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+1\overline{\smash{)}\phantom{;}4x^{3}-12x^{2}-5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+1;}\underline{-4x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-2x^{2};}-14x^{2}-5x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n;}\underline{\phantom{;}14x^{2}+7x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}14x^{2}+7x\phantom{;}-;x^n;}\phantom{;}2x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n-;x^n;}\underline{-2x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;;-2x\phantom{;}-1\phantom{;}\phantom{;}-;x^n-;x^n;}-2\phantom{;}\phantom{;}\\\end{array}$

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