OK, let's crack this. We're given 569 and our task is to multiply it by 101. Essentially, we'll be adding 569 to itself 101 times.
Step 1: 0 + 569 = 569
Step 2: 569 + 569 = 1138
Step 3: 1138 + 569 = 1707
Step 4: 1707 + 569 = 2276
Step 5: 2276 + 569 = 2845
Step 6: 2845 + 569 = 3414
Step 7: 3414 + 569 = 3983
Step 8: 3983 + 569 = 4552
Step 9: 4552 + 569 = 5121
Step 10: 5121 + 569 = 5690
Step 11: 5690 + 569 = 6259
Step 12: 6259 + 569 = 6828
Step 13: 6828 + 569 = 7397
Step 14: 7397 + 569 = 7966
Step 15: 7966 + 569 = 8535
Step 16: 8535 + 569 = 9104
Step 17: 9104 + 569 = 9673
Step 18: 9673 + 569 = 10242
Step 19: 10242 + 569 = 10811
Step 20: 10811 + 569 = 11380
Step 21: 11380 + 569 = 11949
Step 22: 11949 + 569 = 12518
Step 23: 12518 + 569 = 13087
Step 24: 13087 + 569 = 13656
Step 25: 13656 + 569 = 14225
Step 26: 14225 + 569 = 14794
Step 27: 14794 + 569 = 15363
Step 28: 15363 + 569 = 15932
Step 29: 15932 + 569 = 16501
Step 30: 16501 + 569 = 17070
Step 31: 17070 + 569 = 17639
Step 32: 17639 + 569 = 18208
Step 33: 18208 + 569 = 18777
Step 34: 18777 + 569 = 19346
Step 35: 19346 + 569 = 19915
Step 36: 19915 + 569 = 20484
Step 37: 20484 + 569 = 21053
Step 38: 21053 + 569 = 21622
Step 39: 21622 + 569 = 22191
Step 40: 22191 + 569 = 22760
Step 41: 22760 + 569 = 23329
Step 42: 23329 + 569 = 23898
Step 43: 23898 + 569 = 24467
Step 44: 24467 + 569 = 25036
Step 45: 25036 + 569 = 25605
Step 46: 25605 + 569 = 26174
Step 47: 26174 + 569 = 26743
Step 48: 26743 + 569 = 27312
Step 49: 27312 + 569 = 27881
Step 50: 27881 + 569 = 28450
Step 51: 28450 + 569 = 29019
Step 52: 29019 + 569 = 29588
Step 53: 29588 + 569 = 30157
Step 54: 30157 + 569 = 30726
Step 55: 30726 + 569 = 31295
Step 56: 31295 + 569 = 31864
Step 57: 31864 + 569 = 32433
Step 58: 32433 + 569 = 33002
Step 59: 33002 + 569 = 33571
Step 60: 33571 + 569 = 34140
Step 61: 34140 + 569 = 34709
Step 62: 34709 + 569 = 35278
Step 63: 35278 + 569 = 35847
Step 64: 35847 + 569 = 36416
Step 65: 36416 + 569 = 36985
Step 66: 36985 + 569 = 37554
Step 67: 37554 + 569 = 38123
Step 68: 38123 + 569 = 38692
Step 69: 38692 + 569 = 39261
Step 70: 39261 + 569 = 39830
Step 71: 39830 + 569 = 40399
Step 72: 40399 + 569 = 40968
Step 73: 40968 + 569 = 41537
Step 74: 41537 + 569 = 42106
Step 75: 42106 + 569 = 42675
Step 76: 42675 + 569 = 43244
Step 77: 43244 + 569 = 43813
Step 78: 43813 + 569 = 44382
Step 79: 44382 + 569 = 44951
Step 80: 44951 + 569 = 45520
Step 81: 45520 + 569 = 46089
Step 82: 46089 + 569 = 46658
Step 83: 46658 + 569 = 47227
Step 84: 47227 + 569 = 47796
Step 85: 47796 + 569 = 48365
Step 86: 48365 + 569 = 48934
Step 87: 48934 + 569 = 49503
Step 88: 49503 + 569 = 50072
Step 89: 50072 + 569 = 50641
Step 90: 50641 + 569 = 51210
Step 91: 51210 + 569 = 51779
Step 92: 51779 + 569 = 52348
Step 93: 52348 + 569 = 52917
Step 94: 52917 + 569 = 53486
Step 95: 53486 + 569 = 54055
Step 96: 54055 + 569 = 54624
Step 97: 54624 + 569 = 55193
Step 98: 55193 + 569 = 55762
Step 99: 55762 + 569 = 56331
Step 100: 56331 + 569 = 56900
Step 101: 56900 + 569 = 57469

So, 569*101 = 57469