Alright, let's solve this math problem step by step. First, we have the number 582. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 10. So, we're going to take the number 582 and add it to itself 10 times.
Step 1: 0 + 582 = 582
Step 2: 582 + 582 = 1164
Step 3: 1164 + 582 = 1746
Step 4: 1746 + 582 = 2328
Step 5: 2328 + 582 = 2910
Step 6: 2910 + 582 = 3492
Step 7: 3492 + 582 = 4074
Step 8: 4074 + 582 = 4656
Step 9: 4656 + 582 = 5238
Step 10: 5238 + 582 = 5820

So, 582*10 = 5820