OK, let's work through this together. We're starting with 577 and we're going to multiply it by 55, which means we add 577 to itself 55 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
Step 17: 9232 + 577 = 9809
Step 18: 9809 + 577 = 10386
Step 19: 10386 + 577 = 10963
Step 20: 10963 + 577 = 11540
Step 21: 11540 + 577 = 12117
Step 22: 12117 + 577 = 12694
Step 23: 12694 + 577 = 13271
Step 24: 13271 + 577 = 13848
Step 25: 13848 + 577 = 14425
Step 26: 14425 + 577 = 15002
Step 27: 15002 + 577 = 15579
Step 28: 15579 + 577 = 16156
Step 29: 16156 + 577 = 16733
Step 30: 16733 + 577 = 17310
Step 31: 17310 + 577 = 17887
Step 32: 17887 + 577 = 18464
Step 33: 18464 + 577 = 19041
Step 34: 19041 + 577 = 19618
Step 35: 19618 + 577 = 20195
Step 36: 20195 + 577 = 20772
Step 37: 20772 + 577 = 21349
Step 38: 21349 + 577 = 21926
Step 39: 21926 + 577 = 22503
Step 40: 22503 + 577 = 23080
Step 41: 23080 + 577 = 23657
Step 42: 23657 + 577 = 24234
Step 43: 24234 + 577 = 24811
Step 44: 24811 + 577 = 25388
Step 45: 25388 + 577 = 25965
Step 46: 25965 + 577 = 26542
Step 47: 26542 + 577 = 27119
Step 48: 27119 + 577 = 27696
Step 49: 27696 + 577 = 28273
Step 50: 28273 + 577 = 28850
Step 51: 28850 + 577 = 29427
Step 52: 29427 + 577 = 30004
Step 53: 30004 + 577 = 30581
Step 54: 30581 + 577 = 31158
Step 55: 31158 + 577 = 31735

So, 577*55 = 31735