OK, let's crack this. We're given 566 and our task is to multiply it by 74. Essentially, we'll be adding 566 to itself 74 times.
Step 1: 0 + 566 = 566
Step 2: 566 + 566 = 1132
Step 3: 1132 + 566 = 1698
Step 4: 1698 + 566 = 2264
Step 5: 2264 + 566 = 2830
Step 6: 2830 + 566 = 3396
Step 7: 3396 + 566 = 3962
Step 8: 3962 + 566 = 4528
Step 9: 4528 + 566 = 5094
Step 10: 5094 + 566 = 5660
Step 11: 5660 + 566 = 6226
Step 12: 6226 + 566 = 6792
Step 13: 6792 + 566 = 7358
Step 14: 7358 + 566 = 7924
Step 15: 7924 + 566 = 8490
Step 16: 8490 + 566 = 9056
Step 17: 9056 + 566 = 9622
Step 18: 9622 + 566 = 10188
Step 19: 10188 + 566 = 10754
Step 20: 10754 + 566 = 11320
Step 21: 11320 + 566 = 11886
Step 22: 11886 + 566 = 12452
Step 23: 12452 + 566 = 13018
Step 24: 13018 + 566 = 13584
Step 25: 13584 + 566 = 14150
Step 26: 14150 + 566 = 14716
Step 27: 14716 + 566 = 15282
Step 28: 15282 + 566 = 15848
Step 29: 15848 + 566 = 16414
Step 30: 16414 + 566 = 16980
Step 31: 16980 + 566 = 17546
Step 32: 17546 + 566 = 18112
Step 33: 18112 + 566 = 18678
Step 34: 18678 + 566 = 19244
Step 35: 19244 + 566 = 19810
Step 36: 19810 + 566 = 20376
Step 37: 20376 + 566 = 20942
Step 38: 20942 + 566 = 21508
Step 39: 21508 + 566 = 22074
Step 40: 22074 + 566 = 22640
Step 41: 22640 + 566 = 23206
Step 42: 23206 + 566 = 23772
Step 43: 23772 + 566 = 24338
Step 44: 24338 + 566 = 24904
Step 45: 24904 + 566 = 25470
Step 46: 25470 + 566 = 26036
Step 47: 26036 + 566 = 26602
Step 48: 26602 + 566 = 27168
Step 49: 27168 + 566 = 27734
Step 50: 27734 + 566 = 28300
Step 51: 28300 + 566 = 28866
Step 52: 28866 + 566 = 29432
Step 53: 29432 + 566 = 29998
Step 54: 29998 + 566 = 30564
Step 55: 30564 + 566 = 31130
Step 56: 31130 + 566 = 31696
Step 57: 31696 + 566 = 32262
Step 58: 32262 + 566 = 32828
Step 59: 32828 + 566 = 33394
Step 60: 33394 + 566 = 33960
Step 61: 33960 + 566 = 34526
Step 62: 34526 + 566 = 35092
Step 63: 35092 + 566 = 35658
Step 64: 35658 + 566 = 36224
Step 65: 36224 + 566 = 36790
Step 66: 36790 + 566 = 37356
Step 67: 37356 + 566 = 37922
Step 68: 37922 + 566 = 38488
Step 69: 38488 + 566 = 39054
Step 70: 39054 + 566 = 39620
Step 71: 39620 + 566 = 40186
Step 72: 40186 + 566 = 40752
Step 73: 40752 + 566 = 41318
Step 74: 41318 + 566 = 41884

So, 566*74 = 41884