#color(white)("dddddddddddd") 12x^3-5x^2-16x+2#
#color(red)(4x^2)(3x+5) ->ul(12x^3+20x^2 larr" Subtract")#
#color(white)("ddddddddddddd") 0 color(white)("dd") -25x^2-16x+2 #
#color(red)(-(25x)/3)(3x+5)->color(white)("dd")ul(-25x^2-125/3 xlarr" Subtract" ) #
#color(white)("dddddddddddddddddddd")0color(white)("dd")+77/3x+2#
#color(red)(77/9)(3x+5)->color(white)("ddddddddddddd")ul(77/3x+385/9larr" Sub.") #
#color(red)("Remainder "->color(white)("dddddddddddddd")0color(white)("d")-367/9)#
#color(red)(4x^2-25/3x+77/6-367/(9(3x+5))#