Let's roll up our sleeves and solve this. We have 974 and we're going to multiply it by 177, essentially adding 974 to itself 177 times.
Step 1: 0 + 974 = 974
Step 2: 974 + 974 = 1948
Step 3: 1948 + 974 = 2922
Step 4: 2922 + 974 = 3896
Step 5: 3896 + 974 = 4870
Step 6: 4870 + 974 = 5844
Step 7: 5844 + 974 = 6818
Step 8: 6818 + 974 = 7792
Step 9: 7792 + 974 = 8766
Step 10: 8766 + 974 = 9740
Step 11: 9740 + 974 = 10714
Step 12: 10714 + 974 = 11688
Step 13: 11688 + 974 = 12662
Step 14: 12662 + 974 = 13636
Step 15: 13636 + 974 = 14610
Step 16: 14610 + 974 = 15584
Step 17: 15584 + 974 = 16558
Step 18: 16558 + 974 = 17532
Step 19: 17532 + 974 = 18506
Step 20: 18506 + 974 = 19480
Step 21: 19480 + 974 = 20454
Step 22: 20454 + 974 = 21428
Step 23: 21428 + 974 = 22402
Step 24: 22402 + 974 = 23376
Step 25: 23376 + 974 = 24350
Step 26: 24350 + 974 = 25324
Step 27: 25324 + 974 = 26298
Step 28: 26298 + 974 = 27272
Step 29: 27272 + 974 = 28246
Step 30: 28246 + 974 = 29220
Step 31: 29220 + 974 = 30194
Step 32: 30194 + 974 = 31168
Step 33: 31168 + 974 = 32142
Step 34: 32142 + 974 = 33116
Step 35: 33116 + 974 = 34090
Step 36: 34090 + 974 = 35064
Step 37: 35064 + 974 = 36038
Step 38: 36038 + 974 = 37012
Step 39: 37012 + 974 = 37986
Step 40: 37986 + 974 = 38960
Step 41: 38960 + 974 = 39934
Step 42: 39934 + 974 = 40908
Step 43: 40908 + 974 = 41882
Step 44: 41882 + 974 = 42856
Step 45: 42856 + 974 = 43830
Step 46: 43830 + 974 = 44804
Step 47: 44804 + 974 = 45778
Step 48: 45778 + 974 = 46752
Step 49: 46752 + 974 = 47726
Step 50: 47726 + 974 = 48700
Step 51: 48700 + 974 = 49674
Step 52: 49674 + 974 = 50648
Step 53: 50648 + 974 = 51622
Step 54: 51622 + 974 = 52596
Step 55: 52596 + 974 = 53570
Step 56: 53570 + 974 = 54544
Step 57: 54544 + 974 = 55518
Step 58: 55518 + 974 = 56492
Step 59: 56492 + 974 = 57466
Step 60: 57466 + 974 = 58440
Step 61: 58440 + 974 = 59414
Step 62: 59414 + 974 = 60388
Step 63: 60388 + 974 = 61362
Step 64: 61362 + 974 = 62336
Step 65: 62336 + 974 = 63310
Step 66: 63310 + 974 = 64284
Step 67: 64284 + 974 = 65258
Step 68: 65258 + 974 = 66232
Step 69: 66232 + 974 = 67206
Step 70: 67206 + 974 = 68180
Step 71: 68180 + 974 = 69154
Step 72: 69154 + 974 = 70128
Step 73: 70128 + 974 = 71102
Step 74: 71102 + 974 = 72076
Step 75: 72076 + 974 = 73050
Step 76: 73050 + 974 = 74024
Step 77: 74024 + 974 = 74998
Step 78: 74998 + 974 = 75972
Step 79: 75972 + 974 = 76946
Step 80: 76946 + 974 = 77920
Step 81: 77920 + 974 = 78894
Step 82: 78894 + 974 = 79868
Step 83: 79868 + 974 = 80842
Step 84: 80842 + 974 = 81816
Step 85: 81816 + 974 = 82790
Step 86: 82790 + 974 = 83764
Step 87: 83764 + 974 = 84738
Step 88: 84738 + 974 = 85712
Step 89: 85712 + 974 = 86686
Step 90: 86686 + 974 = 87660
Step 91: 87660 + 974 = 88634
Step 92: 88634 + 974 = 89608
Step 93: 89608 + 974 = 90582
Step 94: 90582 + 974 = 91556
Step 95: 91556 + 974 = 92530
Step 96: 92530 + 974 = 93504
Step 97: 93504 + 974 = 94478
Step 98: 94478 + 974 = 95452
Step 99: 95452 + 974 = 96426
Step 100: 96426 + 974 = 97400
Step 101: 97400 + 974 = 98374
Step 102: 98374 + 974 = 99348
Step 103: 99348 + 974 = 100322
Step 104: 100322 + 974 = 101296
Step 105: 101296 + 974 = 102270
Step 106: 102270 + 974 = 103244
Step 107: 103244 + 974 = 104218
Step 108: 104218 + 974 = 105192
Step 109: 105192 + 974 = 106166
Step 110: 106166 + 974 = 107140
Step 111: 107140 + 974 = 108114
Step 112: 108114 + 974 = 109088
Step 113: 109088 + 974 = 110062
Step 114: 110062 + 974 = 111036
Step 115: 111036 + 974 = 112010
Step 116: 112010 + 974 = 112984
Step 117: 112984 + 974 = 113958
Step 118: 113958 + 974 = 114932
Step 119: 114932 + 974 = 115906
Step 120: 115906 + 974 = 116880
Step 121: 116880 + 974 = 117854
Step 122: 117854 + 974 = 118828
Step 123: 118828 + 974 = 119802
Step 124: 119802 + 974 = 120776
Step 125: 120776 + 974 = 121750
Step 126: 121750 + 974 = 122724
Step 127: 122724 + 974 = 123698
Step 128: 123698 + 974 = 124672
Step 129: 124672 + 974 = 125646
Step 130: 125646 + 974 = 126620
Step 131: 126620 + 974 = 127594
Step 132: 127594 + 974 = 128568
Step 133: 128568 + 974 = 129542
Step 134: 129542 + 974 = 130516
Step 135: 130516 + 974 = 131490
Step 136: 131490 + 974 = 132464
Step 137: 132464 + 974 = 133438
Step 138: 133438 + 974 = 134412
Step 139: 134412 + 974 = 135386
Step 140: 135386 + 974 = 136360
Step 141: 136360 + 974 = 137334
Step 142: 137334 + 974 = 138308
Step 143: 138308 + 974 = 139282
Step 144: 139282 + 974 = 140256
Step 145: 140256 + 974 = 141230
Step 146: 141230 + 974 = 142204
Step 147: 142204 + 974 = 143178
Step 148: 143178 + 974 = 144152
Step 149: 144152 + 974 = 145126
Step 150: 145126 + 974 = 146100
Step 151: 146100 + 974 = 147074
Step 152: 147074 + 974 = 148048
Step 153: 148048 + 974 = 149022
Step 154: 149022 + 974 = 149996
Step 155: 149996 + 974 = 150970
Step 156: 150970 + 974 = 151944
Step 157: 151944 + 974 = 152918
Step 158: 152918 + 974 = 153892
Step 159: 153892 + 974 = 154866
Step 160: 154866 + 974 = 155840
Step 161: 155840 + 974 = 156814
Step 162: 156814 + 974 = 157788
Step 163: 157788 + 974 = 158762
Step 164: 158762 + 974 = 159736
Step 165: 159736 + 974 = 160710
Step 166: 160710 + 974 = 161684
Step 167: 161684 + 974 = 162658
Step 168: 162658 + 974 = 163632
Step 169: 163632 + 974 = 164606
Step 170: 164606 + 974 = 165580
Step 171: 165580 + 974 = 166554
Step 172: 166554 + 974 = 167528
Step 173: 167528 + 974 = 168502
Step 174: 168502 + 974 = 169476
Step 175: 169476 + 974 = 170450
Step 176: 170450 + 974 = 171424
Step 177: 171424 + 974 = 172398

So, 974*177 = 172398