We look at the division of 25781157 by 635 
We want to figure out the number of times 25781157 can be divided by 635.

Moving on to step 1:
The number 635 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 635

Moving on to step 2:
635 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 635

Step 3:
When dividing 257 by 635, we get 0 with a remainder of 257.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 257 after subtracting 0 from 257.
Grab the next digit (8) from the dividend, add it to 257, then carry on: 2578 / 635

Moving on to step 4:
635 goes into 2578 4 times with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 2540 from 2578 leaves us with 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 635

On to step 5:
When dividing 381 by 635, we get 0 with a remainder of 381.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
The remainder is 381 after subtracting 0 from 381.
Append the next digit (1) from the dividend to 381 and continue with: 3811 / 635

Advancing to step 6:
The number 635 fits into 3811 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 406.0
Subtracting 3810 from 3811 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 635

On to step 7:
635 can be fit into 15 0 times, resulting in a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 4060.0
Subtract 0 from 15 to get 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 635

Going ahead to step 8:
When dividing 157 by 635, we get 0 with a remainder of 157.
The next digit of our result is 0. 
Result so far: 40600.0
Subtract 0 from 157 to get 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

On to step 9:
635 can be fit into 1570 2 times, resulting in a remainder of 300.
Put 2 as the next digit of the answer. 
Result so far: 40600.2
Subtract 1270 from 1570 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Let's proceed to step 10:
635 can be fit into 3000 4 times, resulting in a remainder of 460.
Use 4 as the next digit of our solution. 
Result so far: 40600.24
Subtract 2540 from 3000 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Going ahead to step 11:
635 goes into 4600 7 times with a remainder of 155.
Use 7 as the next digit of our solution. 
Result so far: 40600.247
Subtracting 4445 from 4600 leaves us with 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

On to step 12:
If we divide 1550 by 635, we get 2 and a remainder of 280.
The next digit of our result is 2. 
Result so far: 40600.2472
The remainder is 280 after subtracting 1270 from 1550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 13:
The number 635 fits into 2800 4 times, leaving a remainder of 260.
The number 4 becomes the next digit in our result. 
Result so far: 40600.24724
Subtracting 2540 from 2800 leaves us with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Advancing to step 14:
If we divide 2600 by 635, we get 4 and a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 40600.247244
If we subtract 2540 from 2600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 40600.247244 with a remainder of 6e-06.