Please answer the following question completely showing all work, I will upvote, thank you!

2. [10 marks] For the code given below, when m=387 and n=33, show the steps of the Euclidean algorithm. I have provided the pseudocode and shown the first 5 steps below. count = 0 while ((r = m mod n) != 0) m = n n=r count = count + 1 Output count, n and STOP. 1. count=0 2. r=387 mod 33 = 24 (which is not zero so continue with the statements in the loop). 3. m=33 4. n = 24 5. count = 1 6. Etc