OK, let's crack this. We're given 478 and our task is to multiply it by 33. Essentially, we'll be adding 478 to itself 33 times.
Step 1: 0 + 478 = 478
Step 2: 478 + 478 = 956
Step 3: 956 + 478 = 1434
Step 4: 1434 + 478 = 1912
Step 5: 1912 + 478 = 2390
Step 6: 2390 + 478 = 2868
Step 7: 2868 + 478 = 3346
Step 8: 3346 + 478 = 3824
Step 9: 3824 + 478 = 4302
Step 10: 4302 + 478 = 4780
Step 11: 4780 + 478 = 5258
Step 12: 5258 + 478 = 5736
Step 13: 5736 + 478 = 6214
Step 14: 6214 + 478 = 6692
Step 15: 6692 + 478 = 7170
Step 16: 7170 + 478 = 7648
Step 17: 7648 + 478 = 8126
Step 18: 8126 + 478 = 8604
Step 19: 8604 + 478 = 9082
Step 20: 9082 + 478 = 9560
Step 21: 9560 + 478 = 10038
Step 22: 10038 + 478 = 10516
Step 23: 10516 + 478 = 10994
Step 24: 10994 + 478 = 11472
Step 25: 11472 + 478 = 11950
Step 26: 11950 + 478 = 12428
Step 27: 12428 + 478 = 12906
Step 28: 12906 + 478 = 13384
Step 29: 13384 + 478 = 13862
Step 30: 13862 + 478 = 14340
Step 31: 14340 + 478 = 14818
Step 32: 14818 + 478 = 15296
Step 33: 15296 + 478 = 15774

So, 478*33 = 15774