635197 divided by 25 
We want to divide 635197 by 25.

Step 1:
25 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 25

Let's proceed to step 2:
25 can be fit into 63 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
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.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtract 125 from 135 to get 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 25

Let's proceed to step 4:
101 divided by 25 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 254.0
If we take 100 away from 101, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 25

Moving on to step 5:
When dividing 19 by 25, we get 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 2540.0
Subtracting 0 from 19 leaves us with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 25

Step 6:
If we divide 197 by 25, we get 7 and a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 25407.0
The remainder is 22 after subtracting 175 from 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
25 can be fit into 220 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 25407.8
The remainder is 20 after subtracting 200 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
If we divide 200 by 25, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 25407.88
Subtract 200 from 200 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.

After the division, we end up with 25407.88 and a remainder of 0.0.