Let's roll up our sleeves and solve this. We have 462 and we're going to multiply it by 34, essentially adding 462 to itself 34 times.
Step 1: 0 + 462 = 462
Step 2: 462 + 462 = 924
Step 3: 924 + 462 = 1386
Step 4: 1386 + 462 = 1848
Step 5: 1848 + 462 = 2310
Step 6: 2310 + 462 = 2772
Step 7: 2772 + 462 = 3234
Step 8: 3234 + 462 = 3696
Step 9: 3696 + 462 = 4158
Step 10: 4158 + 462 = 4620
Step 11: 4620 + 462 = 5082
Step 12: 5082 + 462 = 5544
Step 13: 5544 + 462 = 6006
Step 14: 6006 + 462 = 6468
Step 15: 6468 + 462 = 6930
Step 16: 6930 + 462 = 7392
Step 17: 7392 + 462 = 7854
Step 18: 7854 + 462 = 8316
Step 19: 8316 + 462 = 8778
Step 20: 8778 + 462 = 9240
Step 21: 9240 + 462 = 9702
Step 22: 9702 + 462 = 10164
Step 23: 10164 + 462 = 10626
Step 24: 10626 + 462 = 11088
Step 25: 11088 + 462 = 11550
Step 26: 11550 + 462 = 12012
Step 27: 12012 + 462 = 12474
Step 28: 12474 + 462 = 12936
Step 29: 12936 + 462 = 13398
Step 30: 13398 + 462 = 13860
Step 31: 13860 + 462 = 14322
Step 32: 14322 + 462 = 14784
Step 33: 14784 + 462 = 15246
Step 34: 15246 + 462 = 15708

So, 462*34 = 15708