Perform a long division to obtain the quotient
#color(white)(aaaa)##d^4-6d^3+0d^2+d+17##color(white)(aaaa)##|##d-2#
#color(white)(aaaa)##d^4-2d^3##color(white)(aaaaaaaaaaaaaaaaa)##|##d^3-4d^2-8d-15#
#color(white)(aaaaa)##0-4d^3+0d^2#
#color(white)(aaaaaaa)##-4d^3+8d^2#
#color(white)(aaaaaaaa)##-0-8d^2+d#
#color(white)(aaaaaaaaaaaa)##-8d^2+16d#
#color(white)(aaaaaaaaaaaaaa)##-0-15d+17#
#color(white)(aaaaaaaaaaaaaaaaaa)##-15d+30#
#color(white)(aaaaaaaaaaaaaaaaaaaa)##-0-13#
The quotient is #=d^3-4d^2-8d-15#
The remainder is #=-13#
#(d^4-6d^3+0d^2+d+17)/(d-2)=d^3-4d^2-8d-15-13/(d-2)#
