OK, let's crack this. We're given 577 and our task is to multiply it by 32. Essentially, we'll be adding 577 to itself 32 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

So, 577*32 = 18464