Sure thing, let's get straight to it. We start with 378 and we're going to multiply it by 19, which means adding 378 to itself 19 times.
Step 1: 0 + 378 = 378
Step 2: 378 + 378 = 756
Step 3: 756 + 378 = 1134
Step 4: 1134 + 378 = 1512
Step 5: 1512 + 378 = 1890
Step 6: 1890 + 378 = 2268
Step 7: 2268 + 378 = 2646
Step 8: 2646 + 378 = 3024
Step 9: 3024 + 378 = 3402
Step 10: 3402 + 378 = 3780
Step 11: 3780 + 378 = 4158
Step 12: 4158 + 378 = 4536
Step 13: 4536 + 378 = 4914
Step 14: 4914 + 378 = 5292
Step 15: 5292 + 378 = 5670
Step 16: 5670 + 378 = 6048
Step 17: 6048 + 378 = 6426
Step 18: 6426 + 378 = 6804
Step 19: 6804 + 378 = 7182

So, 378*19 = 7182