We look at the division of 759875 by 75 
We're looking to find how many times 75 goes into 759875.

Let's proceed to step 1:
When dividing 7 by 75, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 75

Advancing to step 2:
The number 75 fits into 75 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 75 away from 75, we end up with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 75

On to step 3:
9 divided by 75 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 75

Advancing to step 4:
When dividing 98 by 75, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 101.0
Deduct 75 from 98 and we're left with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 75

Going ahead to step 5:
When dividing 237 by 75, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 1013.0
Subtracting 225 from 237 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 75

Moving on to step 6:
75 goes into 125 1 times with a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 10131.0
If we subtract 75 from 125, 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.

Step 7:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10131.6
Subtract 450 from 500 to 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.

Moving on to step 8:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 10131.66
Deduct 450 from 500 and we're left 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.

The quotient of the division is 10131.66, and the remainder is 0.05.