Question 889482
You must really mean this:
{{{(2x^2 -4x-44)/(x-6)}}}.


Assuming you want polynomial division


{{{2x^2/x=highlight_green(2x)}}};

{{{2x^2-4x-(2x)(x-6)}}}
{{{2x^2-4x-(2x^2-12x)}}}
{{{2x^2-4x-2x^2+12x}}}
{{{8x}}}


Bring down the next term.
{{{8x-44}}}, the resulting dividend.

{{{8x/x=highlight_green(8)}}};

{{{8x-44-8(x-6)}}}
{{{8x-44-8x+48}}}
{{{highlight_green(4)}}}---------------This now is the remainder.


Quotient:
{{{highlight(2x+8+4/(x-6))}}}