3020 ÷ 6 = 503 R2
Alright, let's work through the division of 3020 by 6 step by step.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 2:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 30 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Step 3:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 4:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 503
Subtract 18 from 20 to get 2.

The final result is 503 with a remainder of 2.