We divide 635338 by 25
Let's see how many times 25 fits into 635338.

Moving on to step 1:
25 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 25

Advancing to step 2:
The number 25 fits into 63 2 times, leaving a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 50 from 63 and we're left with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 25

Step 3:
25 goes into 135 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 25.0
The remainder is 10 after subtracting 125 from 135.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 25

Let's proceed to step 4:
If we divide 103 by 25, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 254.0
If we subtract 100 from 103, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 25

Advancing to step 5:
When dividing 33 by 25, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 2541.0
If we take 25 away from 33, we end up with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 25

Step 6:
The number 25 fits into 88 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 25413.0
The remainder is 13 after subtracting 75 from 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
When dividing 130 by 25, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 25413.5
The remainder is 5 after subtracting 125 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 25, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 25413.52
If we subtract 50 from 50, we 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.

Moving on to step 9:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25413.52
If we subtract 0 from 0, we 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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25413.52
Deduct 0 from 0 and we're left 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.

After the division, we end up with 25413.52 and a remainder of 0.0.