25713814 ÷ 765 
Our goal is to divide 25713814 by 765.

Step 1:
When dividing 2 by 765, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 765

Going ahead to step 2:
25 divided by 765 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 765

Let's proceed to step 3:
If we divide 257 by 765, we get 0 and a remainder of 257.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 257, we get 257.
Include the next digit (1) from the dividend after 257, then repeat: 2571 / 765

Step 4:
765 can be fit into 2571 3 times, resulting in a remainder of 276.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 2295 from 2571 and we're left with 276.
Include the next digit (3) from the dividend after 276, then repeat: 2763 / 765

On to step 5:
765 can be fit into 2763 3 times, resulting in a remainder of 468.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Deduct 2295 from 2763 and we're left with 468.
Grab the next digit (8) from the dividend, add it to 468, then carry on: 4688 / 765

On to step 6:
4688 divided by 765 is 6 with a remainder of 98.
Record the quotient 6 as the next digit in the result. 
Result so far: 336.0
The remainder is 98 after subtracting 4590 from 4688.
Include the next digit (1) from the dividend after 98, then repeat: 981 / 765

On to step 7:
981 divided by 765 is 1 with a remainder of 216.
Put 1 as the next digit of the answer. 
Result so far: 3361.0
Subtracting 765 from 981 leaves us with 216.
Include the next digit (4) from the dividend after 216, then repeat: 2164 / 765

Advancing to step 8:
When dividing 2164 by 765, we get 2 with a remainder of 634.
Use 2 as the next digit of our solution. 
Result so far: 33612.0
The remainder is 634 after subtracting 1530 from 2164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

On to step 9:
If we divide 6340 by 765, we get 8 and a remainder of 220.
The next digit of our result is 8. 
Result so far: 33612.8
The remainder is 220 after subtracting 6120 from 6340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Advancing to step 10:
If we divide 2200 by 765, we get 2 and a remainder of 670.
Put 2 as the next digit of the answer. 
Result so far: 33612.82
If we take 1530 away from 2200, we end up with 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Moving on to step 11:
765 goes into 6700 8 times with a remainder of 580.
The next digit of our result is 8. 
Result so far: 33612.828
The remainder is 580 after subtracting 6120 from 6700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Moving on to step 12:
765 goes into 5800 7 times with a remainder of 445.
Record the quotient 7 as the next digit in the result. 
Result so far: 33612.8287
If we subtract 5355 from 5800, we get 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

Going ahead to step 13:
765 can be fit into 4450 5 times, resulting in a remainder of 625.
Use 5 as the next digit of our solution. 
Result so far: 33612.82875
Deduct 3825 from 4450 and we're left with 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

On to step 14:
6250 divided by 765 is 8 with a remainder of 130.
Use 8 as the next digit of our solution. 
Result so far: 33612.828758
Subtracting 6120 from 6250 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

On to step 15:
The number 765 fits into 1300 1 times, leaving a remainder of 535.
Use 1 as the next digit of our solution. 
Result so far: 33612.8287581
Deduct 765 from 1300 and we're left with 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Moving on to step 16:
If we divide 5350 by 765, we get 6 and a remainder of 760.
Write down 6 as next digit of the result. 
Result so far: 33612.82875816
If we take 4590 away from 5350, we end up with 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7600, and continue the process.

Our division results in 33612.82875816 with a remaining 7.6e-07.