We divide 775568 by 75
Our goal is to divide 775568 by 75.

Moving on to step 1:
The number 75 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 75

Moving on to step 2:
When dividing 77 by 75, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 2 after subtracting 75 from 77.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 75

Advancing to step 3:
25 divided by 75 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 75

Step 4:
The number 75 fits into 255 3 times, leaving a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 103.0
Subtracting 225 from 255 leaves us with 30.
Fetch the next digit (6) from the dividend, attach it to 30 and continue: 306 / 75

Moving on to step 5:
When dividing 306 by 75, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 1034.0
The remainder is 6 after subtracting 300 from 306.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 75

Let's proceed to step 6:
If we divide 68 by 75, we get 0 and a remainder of 68.
The next digit of our result is 0. 
Result so far: 10340.0
Subtract 0 from 68 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
75 goes into 680 9 times with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 10340.9
Subtracting 675 from 680 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
75 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10340.9
If we take 0 away from 50, 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 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 10340.906
Subtracting 450 from 500 leaves us 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.

Advancing to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10340.9066
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.

The final result is 10340.9066 with a remainder of 0.0005.