Alright, let's solve this math problem step by step. First, we have the number 509. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 13. So, we're going to take the number 509 and add it to itself 13 times.
Step 1: 0 + 509 = 509
Step 2: 509 + 509 = 1018
Step 3: 1018 + 509 = 1527
Step 4: 1527 + 509 = 2036
Step 5: 2036 + 509 = 2545
Step 6: 2545 + 509 = 3054
Step 7: 3054 + 509 = 3563
Step 8: 3563 + 509 = 4072
Step 9: 4072 + 509 = 4581
Step 10: 4581 + 509 = 5090
Step 11: 5090 + 509 = 5599
Step 12: 5599 + 509 = 6108
Step 13: 6108 + 509 = 6617

So, 509*13 = 6617