Let's roll up our sleeves and solve this. We have 377 and we're going to multiply it by 16, essentially adding 377 to itself 16 times.
Step 1: 0 + 377 = 377
Step 2: 377 + 377 = 754
Step 3: 754 + 377 = 1131
Step 4: 1131 + 377 = 1508
Step 5: 1508 + 377 = 1885
Step 6: 1885 + 377 = 2262
Step 7: 2262 + 377 = 2639
Step 8: 2639 + 377 = 3016
Step 9: 3016 + 377 = 3393
Step 10: 3393 + 377 = 3770
Step 11: 3770 + 377 = 4147
Step 12: 4147 + 377 = 4524
Step 13: 4524 + 377 = 4901
Step 14: 4901 + 377 = 5278
Step 15: 5278 + 377 = 5655
Step 16: 5655 + 377 = 6032

So, 377*16 = 6032