Use long division to find q and r if

(a) x 6 + x 3 + x 2 + X = q(x)(x4 + x 2 + X + 1) + r(x) in Z2[X],

(b) x 6 + 2x5 + 2x + 1 = q(x)(2x3 + x 2 + X + 1) + r(x) in Z3[X].