You can put this solution on YOUR website! This computer doesn't lend itself to clearly showing this but I will try...
(6x^5-3x^2+x-2)÷(x-1) =
1) 6 0 0 -3 1 -2
__6__6___6__3___4______
6 6 6 3 4 | 2
It sorta worked... but the answer is right:
6x^4+6x^3+6x^2+3x+4 + 2/(x-1)