OK, let's work through this together. We're starting with 501 and we're going to multiply it by 127, which means we add 501 to itself 127 times.
Step 1: 0 + 501 = 501
Step 2: 501 + 501 = 1002
Step 3: 1002 + 501 = 1503
Step 4: 1503 + 501 = 2004
Step 5: 2004 + 501 = 2505
Step 6: 2505 + 501 = 3006
Step 7: 3006 + 501 = 3507
Step 8: 3507 + 501 = 4008
Step 9: 4008 + 501 = 4509
Step 10: 4509 + 501 = 5010
Step 11: 5010 + 501 = 5511
Step 12: 5511 + 501 = 6012
Step 13: 6012 + 501 = 6513
Step 14: 6513 + 501 = 7014
Step 15: 7014 + 501 = 7515
Step 16: 7515 + 501 = 8016
Step 17: 8016 + 501 = 8517
Step 18: 8517 + 501 = 9018
Step 19: 9018 + 501 = 9519
Step 20: 9519 + 501 = 10020
Step 21: 10020 + 501 = 10521
Step 22: 10521 + 501 = 11022
Step 23: 11022 + 501 = 11523
Step 24: 11523 + 501 = 12024
Step 25: 12024 + 501 = 12525
Step 26: 12525 + 501 = 13026
Step 27: 13026 + 501 = 13527
Step 28: 13527 + 501 = 14028
Step 29: 14028 + 501 = 14529
Step 30: 14529 + 501 = 15030
Step 31: 15030 + 501 = 15531
Step 32: 15531 + 501 = 16032
Step 33: 16032 + 501 = 16533
Step 34: 16533 + 501 = 17034
Step 35: 17034 + 501 = 17535
Step 36: 17535 + 501 = 18036
Step 37: 18036 + 501 = 18537
Step 38: 18537 + 501 = 19038
Step 39: 19038 + 501 = 19539
Step 40: 19539 + 501 = 20040
Step 41: 20040 + 501 = 20541
Step 42: 20541 + 501 = 21042
Step 43: 21042 + 501 = 21543
Step 44: 21543 + 501 = 22044
Step 45: 22044 + 501 = 22545
Step 46: 22545 + 501 = 23046
Step 47: 23046 + 501 = 23547
Step 48: 23547 + 501 = 24048
Step 49: 24048 + 501 = 24549
Step 50: 24549 + 501 = 25050
Step 51: 25050 + 501 = 25551
Step 52: 25551 + 501 = 26052
Step 53: 26052 + 501 = 26553
Step 54: 26553 + 501 = 27054
Step 55: 27054 + 501 = 27555
Step 56: 27555 + 501 = 28056
Step 57: 28056 + 501 = 28557
Step 58: 28557 + 501 = 29058
Step 59: 29058 + 501 = 29559
Step 60: 29559 + 501 = 30060
Step 61: 30060 + 501 = 30561
Step 62: 30561 + 501 = 31062
Step 63: 31062 + 501 = 31563
Step 64: 31563 + 501 = 32064
Step 65: 32064 + 501 = 32565
Step 66: 32565 + 501 = 33066
Step 67: 33066 + 501 = 33567
Step 68: 33567 + 501 = 34068
Step 69: 34068 + 501 = 34569
Step 70: 34569 + 501 = 35070
Step 71: 35070 + 501 = 35571
Step 72: 35571 + 501 = 36072
Step 73: 36072 + 501 = 36573
Step 74: 36573 + 501 = 37074
Step 75: 37074 + 501 = 37575
Step 76: 37575 + 501 = 38076
Step 77: 38076 + 501 = 38577
Step 78: 38577 + 501 = 39078
Step 79: 39078 + 501 = 39579
Step 80: 39579 + 501 = 40080
Step 81: 40080 + 501 = 40581
Step 82: 40581 + 501 = 41082
Step 83: 41082 + 501 = 41583
Step 84: 41583 + 501 = 42084
Step 85: 42084 + 501 = 42585
Step 86: 42585 + 501 = 43086
Step 87: 43086 + 501 = 43587
Step 88: 43587 + 501 = 44088
Step 89: 44088 + 501 = 44589
Step 90: 44589 + 501 = 45090
Step 91: 45090 + 501 = 45591
Step 92: 45591 + 501 = 46092
Step 93: 46092 + 501 = 46593
Step 94: 46593 + 501 = 47094
Step 95: 47094 + 501 = 47595
Step 96: 47595 + 501 = 48096
Step 97: 48096 + 501 = 48597
Step 98: 48597 + 501 = 49098
Step 99: 49098 + 501 = 49599
Step 100: 49599 + 501 = 50100
Step 101: 50100 + 501 = 50601
Step 102: 50601 + 501 = 51102
Step 103: 51102 + 501 = 51603
Step 104: 51603 + 501 = 52104
Step 105: 52104 + 501 = 52605
Step 106: 52605 + 501 = 53106
Step 107: 53106 + 501 = 53607
Step 108: 53607 + 501 = 54108
Step 109: 54108 + 501 = 54609
Step 110: 54609 + 501 = 55110
Step 111: 55110 + 501 = 55611
Step 112: 55611 + 501 = 56112
Step 113: 56112 + 501 = 56613
Step 114: 56613 + 501 = 57114
Step 115: 57114 + 501 = 57615
Step 116: 57615 + 501 = 58116
Step 117: 58116 + 501 = 58617
Step 118: 58617 + 501 = 59118
Step 119: 59118 + 501 = 59619
Step 120: 59619 + 501 = 60120
Step 121: 60120 + 501 = 60621
Step 122: 60621 + 501 = 61122
Step 123: 61122 + 501 = 61623
Step 124: 61623 + 501 = 62124
Step 125: 62124 + 501 = 62625
Step 126: 62625 + 501 = 63126
Step 127: 63126 + 501 = 63627

So, 501*127 = 63627