We look at the division of 766323 by 75 
Our goal is to divide 766323 by 75.

On to step 1:
The number 75 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 75

On to step 2:
The number 75 fits into 76 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 75 from 76 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 75

Moving on to step 3:
75 can be fit into 16 0 times, resulting in a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 16, we get 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 75

On to step 4:
If we divide 163 by 75, we get 2 and a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Deduct 150 from 163 and we're left with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 75

Step 5:
When dividing 132 by 75, we get 1 with a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 1021.0
If we take 75 away from 132, we end up with 57.
Fetch the next digit (3) from the dividend, attach it to 57 and continue: 573 / 75

Step 6:
When dividing 573 by 75, we get 7 with a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 10217.0
If we take 525 away from 573, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
When dividing 480 by 75, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 10217.6
Subtracting 450 from 480 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 75 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 10217.64
If we take 300 away from 300, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
75 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10217.64
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10217.64
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 10217.64 with a remainder of 0.0.