Answer
Quotient: $-4x^{2}-3x-3$
Remainder: $-7$
Work Step by Step
$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$ ${-4x^2-3x-3}$
$x-1$$\space)\overline{-4x^{3}+x^{2}+0x-4}$
$\space\space\space\space\space\space\space\space\space\space\space\space\underline{-4x^{3}+4x^{2}}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x^{2}+0x$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x^{2}+3x}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x-4$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x+3}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-7$
Check answer:
$(-4x^{2}-3x-3)\cdot(x-1)-7$
$-4x^{3}+4x^{2}-3x^{2}+3x-3x+3-7$
$-4x^{3}+x^{2}-4$