Let's roll up our sleeves and solve this. We have 627 and we're going to multiply it by 9, essentially adding 627 to itself 9 times.
Step 1: 0 + 627 = 627
Step 2: 627 + 627 = 1254
Step 3: 1254 + 627 = 1881
Step 4: 1881 + 627 = 2508
Step 5: 2508 + 627 = 3135
Step 6: 3135 + 627 = 3762
Step 7: 3762 + 627 = 4389
Step 8: 4389 + 627 = 5016
Step 9: 5016 + 627 = 5643

So, 627*9 = 5643