Note that I use place keepers that have no value. This is done to make sure things line up properly. Example-> 0x^2→0x2
Numerator" "->" "x^4+0x^3+0x^2-3x-5 → x4+0x3+0x2−3x−5
color(magenta)(x^3)(x+2)" "->" "ul(x^4+2x^3)" "larr" Subtract"
" "0-2x^3+0x^2-3x-5
color(magenta)(-2x^2)(x+2)" "->" "ul( -2x^3-4x^2)" "larr" Subtract"
" "0+4x^2-3x-5
" "color(magenta)(4x)(x+2) " "->" "ul(4x^2+8x)" "larr" Subtract"
" "0-11x-5
color(magenta)(-11)(x+2)" "->" "ul(-11x-22 )" "larr" Sub."
" "0+17
Where the final value of color(magenta)("17 is the remainder")
(x^4-3x-5)/(x+2) = color(magenta)(x^3-2x^2+4x-11+17/(x+2))
