We look at the division of 515081 by 75 
We want to figure out the number of times 515081 can be divided by 75.

Let's proceed to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 75

Going ahead to step 2:
When dividing 51 by 75, we get 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 75

On to step 3:
515 divided by 75 is 6 with a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 450 away from 515, we end up with 65.
Include the next digit (0) from the dividend after 65, then repeat: 650 / 75

Moving on to step 4:
If we divide 650 by 75, we get 8 and a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we subtract 600 from 650, we get 50.
Append the next digit (8) from the dividend to 50 and continue with: 508 / 75

Advancing to step 5:
The number 75 fits into 508 6 times, leaving a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 686.0
Subtract 450 from 508 to get 58.
Take the next digit (1) from the dividend and append it to 58, then repeat: 581 / 75

Let's proceed to step 6:
When dividing 581 by 75, we get 7 with a remainder of 56.
The next digit of our result is 7. 
Result so far: 6867.0
If we take 525 away from 581, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
The number 75 fits into 560 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 6867.7
The remainder is 35 after subtracting 525 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 75 is 4 with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 6867.74
If we subtract 300 from 350, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 6867.746
If we take 450 away from 500, 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.

On to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 6867.7466
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 6867.7466, and the remainder is 0.0005.