Let's roll up our sleeves and solve this. We have 419 and we're going to multiply it by 34, essentially adding 419 to itself 34 times.
Step 1: 0 + 419 = 419
Step 2: 419 + 419 = 838
Step 3: 838 + 419 = 1257
Step 4: 1257 + 419 = 1676
Step 5: 1676 + 419 = 2095
Step 6: 2095 + 419 = 2514
Step 7: 2514 + 419 = 2933
Step 8: 2933 + 419 = 3352
Step 9: 3352 + 419 = 3771
Step 10: 3771 + 419 = 4190
Step 11: 4190 + 419 = 4609
Step 12: 4609 + 419 = 5028
Step 13: 5028 + 419 = 5447
Step 14: 5447 + 419 = 5866
Step 15: 5866 + 419 = 6285
Step 16: 6285 + 419 = 6704
Step 17: 6704 + 419 = 7123
Step 18: 7123 + 419 = 7542
Step 19: 7542 + 419 = 7961
Step 20: 7961 + 419 = 8380
Step 21: 8380 + 419 = 8799
Step 22: 8799 + 419 = 9218
Step 23: 9218 + 419 = 9637
Step 24: 9637 + 419 = 10056
Step 25: 10056 + 419 = 10475
Step 26: 10475 + 419 = 10894
Step 27: 10894 + 419 = 11313
Step 28: 11313 + 419 = 11732
Step 29: 11732 + 419 = 12151
Step 30: 12151 + 419 = 12570
Step 31: 12570 + 419 = 12989
Step 32: 12989 + 419 = 13408
Step 33: 13408 + 419 = 13827
Step 34: 13827 + 419 = 14246

So, 419*34 = 14246