Let's roll up our sleeves and solve this. We have 417 and we're going to multiply it by 34, essentially adding 417 to itself 34 times.
Step 1: 0 + 417 = 417
Step 2: 417 + 417 = 834
Step 3: 834 + 417 = 1251
Step 4: 1251 + 417 = 1668
Step 5: 1668 + 417 = 2085
Step 6: 2085 + 417 = 2502
Step 7: 2502 + 417 = 2919
Step 8: 2919 + 417 = 3336
Step 9: 3336 + 417 = 3753
Step 10: 3753 + 417 = 4170
Step 11: 4170 + 417 = 4587
Step 12: 4587 + 417 = 5004
Step 13: 5004 + 417 = 5421
Step 14: 5421 + 417 = 5838
Step 15: 5838 + 417 = 6255
Step 16: 6255 + 417 = 6672
Step 17: 6672 + 417 = 7089
Step 18: 7089 + 417 = 7506
Step 19: 7506 + 417 = 7923
Step 20: 7923 + 417 = 8340
Step 21: 8340 + 417 = 8757
Step 22: 8757 + 417 = 9174
Step 23: 9174 + 417 = 9591
Step 24: 9591 + 417 = 10008
Step 25: 10008 + 417 = 10425
Step 26: 10425 + 417 = 10842
Step 27: 10842 + 417 = 11259
Step 28: 11259 + 417 = 11676
Step 29: 11676 + 417 = 12093
Step 30: 12093 + 417 = 12510
Step 31: 12510 + 417 = 12927
Step 32: 12927 + 417 = 13344
Step 33: 13344 + 417 = 13761
Step 34: 13761 + 417 = 14178

So, 417*34 = 14178