Let's roll up our sleeves and solve this. We have 344 and we're going to multiply it by 46, essentially adding 344 to itself 46 times.
Step 1: 0 + 344 = 344
Step 2: 344 + 344 = 688
Step 3: 688 + 344 = 1032
Step 4: 1032 + 344 = 1376
Step 5: 1376 + 344 = 1720
Step 6: 1720 + 344 = 2064
Step 7: 2064 + 344 = 2408
Step 8: 2408 + 344 = 2752
Step 9: 2752 + 344 = 3096
Step 10: 3096 + 344 = 3440
Step 11: 3440 + 344 = 3784
Step 12: 3784 + 344 = 4128
Step 13: 4128 + 344 = 4472
Step 14: 4472 + 344 = 4816
Step 15: 4816 + 344 = 5160
Step 16: 5160 + 344 = 5504
Step 17: 5504 + 344 = 5848
Step 18: 5848 + 344 = 6192
Step 19: 6192 + 344 = 6536
Step 20: 6536 + 344 = 6880
Step 21: 6880 + 344 = 7224
Step 22: 7224 + 344 = 7568
Step 23: 7568 + 344 = 7912
Step 24: 7912 + 344 = 8256
Step 25: 8256 + 344 = 8600
Step 26: 8600 + 344 = 8944
Step 27: 8944 + 344 = 9288
Step 28: 9288 + 344 = 9632
Step 29: 9632 + 344 = 9976
Step 30: 9976 + 344 = 10320
Step 31: 10320 + 344 = 10664
Step 32: 10664 + 344 = 11008
Step 33: 11008 + 344 = 11352
Step 34: 11352 + 344 = 11696
Step 35: 11696 + 344 = 12040
Step 36: 12040 + 344 = 12384
Step 37: 12384 + 344 = 12728
Step 38: 12728 + 344 = 13072
Step 39: 13072 + 344 = 13416
Step 40: 13416 + 344 = 13760
Step 41: 13760 + 344 = 14104
Step 42: 14104 + 344 = 14448
Step 43: 14448 + 344 = 14792
Step 44: 14792 + 344 = 15136
Step 45: 15136 + 344 = 15480
Step 46: 15480 + 344 = 15824

So, 344*46 = 15824