We divide 635771 by 25
We're looking to find how many times 25 goes into 635771.

On to step 1:
When dividing 6 by 25, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 25

Let's proceed to step 2:
When dividing 63 by 25, we get 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 50 from 63 and we're left with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 25

Going ahead to step 3:
When dividing 135 by 25, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 125 from 135 leaves us with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 25

Moving on to step 4:
25 goes into 107 4 times with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 254.0
Subtracting 100 from 107 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 25

Step 5:
25 goes into 77 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 2543.0
Subtracting 75 from 77 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 25

Advancing to step 6:
When dividing 21 by 25, we get 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 25430.0
If we subtract 0 from 21, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 25430.8
The remainder is 10 after subtracting 200 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 25430.84
Subtracting 100 from 100 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.

Going ahead to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 25430.84
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25430.84
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 25430.84 with a remaining 0.0.