We look at the division of 517984 by 75 
Our goal is to divide 517984 by 75.

Advancing to step 1:
5 divided by 75 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 75

Moving on to step 2:
75 can be fit into 51 0 times, resulting in a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 75

Advancing to step 3:
When dividing 517 by 75, we get 6 with a remainder of 67.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 450 from 517 leaves us with 67.
Bring next digit (9) of the dividend behind the 67 and repeat the process: 679 / 75

Moving on to step 4:
If we divide 679 by 75, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Subtract 675 from 679 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 75

Advancing to step 5:
When dividing 48 by 75, we get 0 with a remainder of 48.
Write down 0 as next digit of the result. 
Result so far: 690.0
If we take 0 away from 48, we end up with 48.
Append the next digit (4) from the dividend to 48 and continue with: 484 / 75

On to step 6:
When dividing 484 by 75, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 6906.0
Subtract 450 from 484 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 75 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 6906.4
Subtracting 300 from 340 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 75 fits into 400 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6906.45
Deduct 375 from 400 and we're left 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.

Let's proceed to step 9:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6906.453
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.

Step 10:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6906.4533
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.

Our division results in 6906.4533 with a remaining 0.00025.