Sure thing, let's get straight to it. We start with 317 and we're going to multiply it by 66, which means adding 317 to itself 66 times.
Step 1: 0 + 317 = 317
Step 2: 317 + 317 = 634
Step 3: 634 + 317 = 951
Step 4: 951 + 317 = 1268
Step 5: 1268 + 317 = 1585
Step 6: 1585 + 317 = 1902
Step 7: 1902 + 317 = 2219
Step 8: 2219 + 317 = 2536
Step 9: 2536 + 317 = 2853
Step 10: 2853 + 317 = 3170
Step 11: 3170 + 317 = 3487
Step 12: 3487 + 317 = 3804
Step 13: 3804 + 317 = 4121
Step 14: 4121 + 317 = 4438
Step 15: 4438 + 317 = 4755
Step 16: 4755 + 317 = 5072
Step 17: 5072 + 317 = 5389
Step 18: 5389 + 317 = 5706
Step 19: 5706 + 317 = 6023
Step 20: 6023 + 317 = 6340
Step 21: 6340 + 317 = 6657
Step 22: 6657 + 317 = 6974
Step 23: 6974 + 317 = 7291
Step 24: 7291 + 317 = 7608
Step 25: 7608 + 317 = 7925
Step 26: 7925 + 317 = 8242
Step 27: 8242 + 317 = 8559
Step 28: 8559 + 317 = 8876
Step 29: 8876 + 317 = 9193
Step 30: 9193 + 317 = 9510
Step 31: 9510 + 317 = 9827
Step 32: 9827 + 317 = 10144
Step 33: 10144 + 317 = 10461
Step 34: 10461 + 317 = 10778
Step 35: 10778 + 317 = 11095
Step 36: 11095 + 317 = 11412
Step 37: 11412 + 317 = 11729
Step 38: 11729 + 317 = 12046
Step 39: 12046 + 317 = 12363
Step 40: 12363 + 317 = 12680
Step 41: 12680 + 317 = 12997
Step 42: 12997 + 317 = 13314
Step 43: 13314 + 317 = 13631
Step 44: 13631 + 317 = 13948
Step 45: 13948 + 317 = 14265
Step 46: 14265 + 317 = 14582
Step 47: 14582 + 317 = 14899
Step 48: 14899 + 317 = 15216
Step 49: 15216 + 317 = 15533
Step 50: 15533 + 317 = 15850
Step 51: 15850 + 317 = 16167
Step 52: 16167 + 317 = 16484
Step 53: 16484 + 317 = 16801
Step 54: 16801 + 317 = 17118
Step 55: 17118 + 317 = 17435
Step 56: 17435 + 317 = 17752
Step 57: 17752 + 317 = 18069
Step 58: 18069 + 317 = 18386
Step 59: 18386 + 317 = 18703
Step 60: 18703 + 317 = 19020
Step 61: 19020 + 317 = 19337
Step 62: 19337 + 317 = 19654
Step 63: 19654 + 317 = 19971
Step 64: 19971 + 317 = 20288
Step 65: 20288 + 317 = 20605
Step 66: 20605 + 317 = 20922

So, 317*66 = 20922