OK, let's crack this. We're given 166 and our task is to multiply it by 38. Essentially, we'll be adding 166 to itself 38 times.
Step 1: 0 + 166 = 166
Step 2: 166 + 166 = 332
Step 3: 332 + 166 = 498
Step 4: 498 + 166 = 664
Step 5: 664 + 166 = 830
Step 6: 830 + 166 = 996
Step 7: 996 + 166 = 1162
Step 8: 1162 + 166 = 1328
Step 9: 1328 + 166 = 1494
Step 10: 1494 + 166 = 1660
Step 11: 1660 + 166 = 1826
Step 12: 1826 + 166 = 1992
Step 13: 1992 + 166 = 2158
Step 14: 2158 + 166 = 2324
Step 15: 2324 + 166 = 2490
Step 16: 2490 + 166 = 2656
Step 17: 2656 + 166 = 2822
Step 18: 2822 + 166 = 2988
Step 19: 2988 + 166 = 3154
Step 20: 3154 + 166 = 3320
Step 21: 3320 + 166 = 3486
Step 22: 3486 + 166 = 3652
Step 23: 3652 + 166 = 3818
Step 24: 3818 + 166 = 3984
Step 25: 3984 + 166 = 4150
Step 26: 4150 + 166 = 4316
Step 27: 4316 + 166 = 4482
Step 28: 4482 + 166 = 4648
Step 29: 4648 + 166 = 4814
Step 30: 4814 + 166 = 4980
Step 31: 4980 + 166 = 5146
Step 32: 5146 + 166 = 5312
Step 33: 5312 + 166 = 5478
Step 34: 5478 + 166 = 5644
Step 35: 5644 + 166 = 5810
Step 36: 5810 + 166 = 5976
Step 37: 5976 + 166 = 6142
Step 38: 6142 + 166 = 6308

So, 166*38 = 6308