$\begin{array}{l}\phantom{-2x\phantom{;}+1;}{\frac{3}{2}x\phantom{;}+\frac{-\frac{3}{2}}{-2}\phantom{;}\phantom{;}}\\-2x\phantom{;}+1\overline{\smash{)}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x\phantom{;}+1;}\underline{\phantom{;}3x^{2}-\frac{3}{2}x\phantom{;}\phantom{-;x^n}}\\\phantom{\phantom{;}3x^{2}-\frac{3}{2}x\phantom{;};}-\frac{3}{2}x\phantom{;}\phantom{-;x^n}\\\phantom{-2x\phantom{;}+1-;x^n;}\underline{\phantom{;}1.5x\phantom{;}-0.75\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}1.5x\phantom{;}-0.75\phantom{;}\phantom{;}-;x^n;}-0.75\phantom{;}\phantom{;}\\\end{array}$

$\frac{3}{2}x+\frac{3}{4}+\frac{-0.75}{1-2x}$