Let's roll up our sleeves and solve this. We have 577 and we're going to multiply it by 16, essentially adding 577 to itself 16 times.
Step 1: 0 + 577 = 577
Step 2: 577 + 577 = 1154
Step 3: 1154 + 577 = 1731
Step 4: 1731 + 577 = 2308
Step 5: 2308 + 577 = 2885
Step 6: 2885 + 577 = 3462
Step 7: 3462 + 577 = 4039
Step 8: 4039 + 577 = 4616
Step 9: 4616 + 577 = 5193
Step 10: 5193 + 577 = 5770
Step 11: 5770 + 577 = 6347
Step 12: 6347 + 577 = 6924
Step 13: 6924 + 577 = 7501
Step 14: 7501 + 577 = 8078
Step 15: 8078 + 577 = 8655
Step 16: 8655 + 577 = 9232

So, 577*16 = 9232