Alright, let's solve this math problem step by step. First, we have the number 585. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 9. So, we're going to take the number 585 and add it to itself 9 times.
Step 1: 0 + 585 = 585
Step 2: 585 + 585 = 1170
Step 3: 1170 + 585 = 1755
Step 4: 1755 + 585 = 2340
Step 5: 2340 + 585 = 2925
Step 6: 2925 + 585 = 3510
Step 7: 3510 + 585 = 4095
Step 8: 4095 + 585 = 4680
Step 9: 4680 + 585 = 5265

So, 585*9 = 5265