Alright, let's solve this math problem step by step. First, we have the number 346. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 19. So, we're going to take the number 346 and add it to itself 19 times.
Step 1: 0 + 346 = 346
Step 2: 346 + 346 = 692
Step 3: 692 + 346 = 1038
Step 4: 1038 + 346 = 1384
Step 5: 1384 + 346 = 1730
Step 6: 1730 + 346 = 2076
Step 7: 2076 + 346 = 2422
Step 8: 2422 + 346 = 2768
Step 9: 2768 + 346 = 3114
Step 10: 3114 + 346 = 3460
Step 11: 3460 + 346 = 3806
Step 12: 3806 + 346 = 4152
Step 13: 4152 + 346 = 4498
Step 14: 4498 + 346 = 4844
Step 15: 4844 + 346 = 5190
Step 16: 5190 + 346 = 5536
Step 17: 5536 + 346 = 5882
Step 18: 5882 + 346 = 6228
Step 19: 6228 + 346 = 6574

So, 346*19 = 6574