506 ÷ 7 = 72 R2
Alright, let's work through the division of 506 by 7 step by step.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 2:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 50 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 3:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 72
Subtract 14 from 16 to get 2.

The final result is 72 with a remainder of 2.