We look at the division of 8175424 by 768 
We want to figure out the number of times 8175424 can be divided by 768.

Moving on to step 1:
If we divide 8 by 768, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 768

Step 2:
The number 768 fits into 81 0 times, leaving a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Include the next digit (7) from the dividend after 81, then repeat: 817 / 768

On to step 3:
When dividing 817 by 768, we get 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 768 from 817, we get 49.
Append the next digit (5) from the dividend to 49 and continue with: 495 / 768

On to step 4:
If we divide 495 by 768, we get 0 and a remainder of 495.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 495 and we're left with 495.
Append the next digit (4) from the dividend to 495 and continue with: 4954 / 768

Going ahead to step 5:
If we divide 4954 by 768, we get 6 and a remainder of 346.
Write down 6 as next digit of the result. 
Result so far: 106.0
If we subtract 4608 from 4954, we get 346.
Fetch the next digit (2) from the dividend, attach it to 346 and continue: 3462 / 768

Moving on to step 6:
When dividing 3462 by 768, we get 4 with a remainder of 390.
Write down 4 as next digit of the result. 
Result so far: 1064.0
Subtracting 3072 from 3462 leaves us with 390.
Bring next digit (4) of the dividend behind the 390 and repeat the process: 3904 / 768

On to step 7:
768 goes into 3904 5 times with a remainder of 64.
Put 5 as the next digit of the answer. 
Result so far: 10645.0
The remainder is 64 after subtracting 3840 from 3904.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 8:
When dividing 640 by 768, we get 0 with a remainder of 640.
Use 0 as the next digit of our solution. 
Result so far: 10645.0
If we subtract 0 from 640, we get 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Moving on to step 9:
6400 divided by 768 is 8 with a remainder of 256.
The number 8 becomes the next digit in our result. 
Result so far: 10645.08
If we take 6144 away from 6400, we end up with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 10:
768 goes into 2560 3 times with a remainder of 256.
Write down 3 as next digit of the result. 
Result so far: 10645.083
Subtracting 2304 from 2560 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 11:
If we divide 2560 by 768, we get 3 and a remainder of 256.
The next digit of our result is 3. 
Result so far: 10645.0833
The remainder is 256 after subtracting 2304 from 2560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The quotient of the division is 10645.0833, and the remainder is 0.00256.