Let's roll up our sleeves and solve this. We have 363 and we're going to multiply it by 34, essentially adding 363 to itself 34 times.
Step 1: 0 + 363 = 363
Step 2: 363 + 363 = 726
Step 3: 726 + 363 = 1089
Step 4: 1089 + 363 = 1452
Step 5: 1452 + 363 = 1815
Step 6: 1815 + 363 = 2178
Step 7: 2178 + 363 = 2541
Step 8: 2541 + 363 = 2904
Step 9: 2904 + 363 = 3267
Step 10: 3267 + 363 = 3630
Step 11: 3630 + 363 = 3993
Step 12: 3993 + 363 = 4356
Step 13: 4356 + 363 = 4719
Step 14: 4719 + 363 = 5082
Step 15: 5082 + 363 = 5445
Step 16: 5445 + 363 = 5808
Step 17: 5808 + 363 = 6171
Step 18: 6171 + 363 = 6534
Step 19: 6534 + 363 = 6897
Step 20: 6897 + 363 = 7260
Step 21: 7260 + 363 = 7623
Step 22: 7623 + 363 = 7986
Step 23: 7986 + 363 = 8349
Step 24: 8349 + 363 = 8712
Step 25: 8712 + 363 = 9075
Step 26: 9075 + 363 = 9438
Step 27: 9438 + 363 = 9801
Step 28: 9801 + 363 = 10164
Step 29: 10164 + 363 = 10527
Step 30: 10527 + 363 = 10890
Step 31: 10890 + 363 = 11253
Step 32: 11253 + 363 = 11616
Step 33: 11616 + 363 = 11979
Step 34: 11979 + 363 = 12342

So, 363*34 = 12342