Let's roll up our sleeves and solve this. We have 629 and we're going to multiply it by 9, essentially adding 629 to itself 9 times.
Step 1: 0 + 629 = 629
Step 2: 629 + 629 = 1258
Step 3: 1258 + 629 = 1887
Step 4: 1887 + 629 = 2516
Step 5: 2516 + 629 = 3145
Step 6: 3145 + 629 = 3774
Step 7: 3774 + 629 = 4403
Step 8: 4403 + 629 = 5032
Step 9: 5032 + 629 = 5661

So, 629*9 = 5661