517 divided by 75 
We're looking to find how many times 75 goes into 517.

Moving on to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 75

Going ahead to step 2:
75 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 75

Going ahead to step 3:
If we divide 517 by 75, we get 6 and a remainder of 67.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 450 from 517 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 4:
If we divide 670 by 75, we get 8 and a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 6.8
Subtract 600 from 670 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 5:
If we divide 700 by 75, we get 9 and a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 6.89
If we subtract 675 from 700, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 6:
If we divide 250 by 75, we get 3 and a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 6.893
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 6.8933
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 6.8933 with a balance of 0.00025.