530 ÷ 7 = 75 R5
Alright, let's work through the division of 530 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 (3) of the dividend behind the 5 and repeat the process: 53 / 7

Step 2:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 53 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 7

Step 3:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 75
Subtract 35 from 40 to get 5.

The final result is 75 with a remainder of 5.