I need assistance understanding how to perform long division of polynomials. Could you please provide a step by step guide to completing the questions below to enhance my understanding

(5) This question deals with the finite field GF(24). GF(24) is obtained as Zz(x] (mod x4+ x + 1). Note that in some parts, you may need to use long division of polynomials. And in the the last question, you will learn of the extended Euclidean algorithm for polynomials. A brief description of this algorithm is given below. Compute the following elements of Z2(x] (mod a4 + 23 + 1). (a) (203 + 202 + 1) (203 + 2+ 1). (b) (202 + 1) (202 + 20) (c) (203 + 202 + 1) + (203 + 202 ) (d) (x2 + 2 + 1) + (23 + + 1)