Alright, let's solve this math problem step by step. First, we have the number 677. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 111. So, we're going to take the number 677 and add it to itself 111 times.
Step 1: 0 + 677 = 677
Step 2: 677 + 677 = 1354
Step 3: 1354 + 677 = 2031
Step 4: 2031 + 677 = 2708
Step 5: 2708 + 677 = 3385
Step 6: 3385 + 677 = 4062
Step 7: 4062 + 677 = 4739
Step 8: 4739 + 677 = 5416
Step 9: 5416 + 677 = 6093
Step 10: 6093 + 677 = 6770
Step 11: 6770 + 677 = 7447
Step 12: 7447 + 677 = 8124
Step 13: 8124 + 677 = 8801
Step 14: 8801 + 677 = 9478
Step 15: 9478 + 677 = 10155
Step 16: 10155 + 677 = 10832
Step 17: 10832 + 677 = 11509
Step 18: 11509 + 677 = 12186
Step 19: 12186 + 677 = 12863
Step 20: 12863 + 677 = 13540
Step 21: 13540 + 677 = 14217
Step 22: 14217 + 677 = 14894
Step 23: 14894 + 677 = 15571
Step 24: 15571 + 677 = 16248
Step 25: 16248 + 677 = 16925
Step 26: 16925 + 677 = 17602
Step 27: 17602 + 677 = 18279
Step 28: 18279 + 677 = 18956
Step 29: 18956 + 677 = 19633
Step 30: 19633 + 677 = 20310
Step 31: 20310 + 677 = 20987
Step 32: 20987 + 677 = 21664
Step 33: 21664 + 677 = 22341
Step 34: 22341 + 677 = 23018
Step 35: 23018 + 677 = 23695
Step 36: 23695 + 677 = 24372
Step 37: 24372 + 677 = 25049
Step 38: 25049 + 677 = 25726
Step 39: 25726 + 677 = 26403
Step 40: 26403 + 677 = 27080
Step 41: 27080 + 677 = 27757
Step 42: 27757 + 677 = 28434
Step 43: 28434 + 677 = 29111
Step 44: 29111 + 677 = 29788
Step 45: 29788 + 677 = 30465
Step 46: 30465 + 677 = 31142
Step 47: 31142 + 677 = 31819
Step 48: 31819 + 677 = 32496
Step 49: 32496 + 677 = 33173
Step 50: 33173 + 677 = 33850
Step 51: 33850 + 677 = 34527
Step 52: 34527 + 677 = 35204
Step 53: 35204 + 677 = 35881
Step 54: 35881 + 677 = 36558
Step 55: 36558 + 677 = 37235
Step 56: 37235 + 677 = 37912
Step 57: 37912 + 677 = 38589
Step 58: 38589 + 677 = 39266
Step 59: 39266 + 677 = 39943
Step 60: 39943 + 677 = 40620
Step 61: 40620 + 677 = 41297
Step 62: 41297 + 677 = 41974
Step 63: 41974 + 677 = 42651
Step 64: 42651 + 677 = 43328
Step 65: 43328 + 677 = 44005
Step 66: 44005 + 677 = 44682
Step 67: 44682 + 677 = 45359
Step 68: 45359 + 677 = 46036
Step 69: 46036 + 677 = 46713
Step 70: 46713 + 677 = 47390
Step 71: 47390 + 677 = 48067
Step 72: 48067 + 677 = 48744
Step 73: 48744 + 677 = 49421
Step 74: 49421 + 677 = 50098
Step 75: 50098 + 677 = 50775
Step 76: 50775 + 677 = 51452
Step 77: 51452 + 677 = 52129
Step 78: 52129 + 677 = 52806
Step 79: 52806 + 677 = 53483
Step 80: 53483 + 677 = 54160
Step 81: 54160 + 677 = 54837
Step 82: 54837 + 677 = 55514
Step 83: 55514 + 677 = 56191
Step 84: 56191 + 677 = 56868
Step 85: 56868 + 677 = 57545
Step 86: 57545 + 677 = 58222
Step 87: 58222 + 677 = 58899
Step 88: 58899 + 677 = 59576
Step 89: 59576 + 677 = 60253
Step 90: 60253 + 677 = 60930
Step 91: 60930 + 677 = 61607
Step 92: 61607 + 677 = 62284
Step 93: 62284 + 677 = 62961
Step 94: 62961 + 677 = 63638
Step 95: 63638 + 677 = 64315
Step 96: 64315 + 677 = 64992
Step 97: 64992 + 677 = 65669
Step 98: 65669 + 677 = 66346
Step 99: 66346 + 677 = 67023
Step 100: 67023 + 677 = 67700
Step 101: 67700 + 677 = 68377
Step 102: 68377 + 677 = 69054
Step 103: 69054 + 677 = 69731
Step 104: 69731 + 677 = 70408
Step 105: 70408 + 677 = 71085
Step 106: 71085 + 677 = 71762
Step 107: 71762 + 677 = 72439
Step 108: 72439 + 677 = 73116
Step 109: 73116 + 677 = 73793
Step 110: 73793 + 677 = 74470
Step 111: 74470 + 677 = 75147

So, 677*111 = 75147