Let's roll up our sleeves and solve this. We have 567 and we're going to multiply it by 17, essentially adding 567 to itself 17 times.
Step 1: 0 + 567 = 567
Step 2: 567 + 567 = 1134
Step 3: 1134 + 567 = 1701
Step 4: 1701 + 567 = 2268
Step 5: 2268 + 567 = 2835
Step 6: 2835 + 567 = 3402
Step 7: 3402 + 567 = 3969
Step 8: 3969 + 567 = 4536
Step 9: 4536 + 567 = 5103
Step 10: 5103 + 567 = 5670
Step 11: 5670 + 567 = 6237
Step 12: 6237 + 567 = 6804
Step 13: 6804 + 567 = 7371
Step 14: 7371 + 567 = 7938
Step 15: 7938 + 567 = 8505
Step 16: 8505 + 567 = 9072
Step 17: 9072 + 567 = 9639

So, 567*17 = 9639