503117 ÷ 75 
Our goal is to divide 503117 by 75.

Let's proceed to step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 75

Going ahead to step 2:
50 divided by 75 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Fetch the next digit (3) from the dividend, attach it to 50 and continue: 503 / 75

Step 3:
When dividing 503 by 75, we get 6 with a remainder of 53.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 450 away from 503, we end up with 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 75

Going ahead to step 4:
75 can be fit into 531 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 67.0
The remainder is 6 after subtracting 525 from 531.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 75

Step 5:
When dividing 61 by 75, we get 0 with a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 670.0
Subtract 0 from 61 to get 61.
Include the next digit (7) from the dividend after 61, then repeat: 617 / 75

Step 6:
The number 75 fits into 617 8 times, leaving a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 6708.0
Subtract 600 from 617 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
170 divided by 75 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6708.2
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
75 can be fit into 200 2 times, resulting in a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 6708.22
If we take 150 away from 200, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 6708.22 with a balance of 0.05.