Let's roll up our sleeves and solve this. We have 519 and we're going to multiply it by 17, essentially adding 519 to itself 17 times.
Step 1: 0 + 519 = 519
Step 2: 519 + 519 = 1038
Step 3: 1038 + 519 = 1557
Step 4: 1557 + 519 = 2076
Step 5: 2076 + 519 = 2595
Step 6: 2595 + 519 = 3114
Step 7: 3114 + 519 = 3633
Step 8: 3633 + 519 = 4152
Step 9: 4152 + 519 = 4671
Step 10: 4671 + 519 = 5190
Step 11: 5190 + 519 = 5709
Step 12: 5709 + 519 = 6228
Step 13: 6228 + 519 = 6747
Step 14: 6747 + 519 = 7266
Step 15: 7266 + 519 = 7785
Step 16: 7785 + 519 = 8304
Step 17: 8304 + 519 = 8823

So, 519*17 = 8823