We look at the division of 609641 by 25 
We're looking to find how many times 25 goes into 609641.

On to step 1:
The number 25 fits into 6 0 times, leaving 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.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 25

Let's proceed to step 2:
25 can be fit into 60 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 50 from 60 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 25

Advancing to step 3:
25 goes into 109 4 times with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Subtracting 100 from 109 leaves us with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 25

Step 4:
25 can be fit into 96 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 243.0
If we take 75 away from 96, we end up with 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 25

Advancing to step 5:
When dividing 214 by 25, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 2438.0
Subtracting 200 from 214 leaves us with 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 25

Going ahead to step 6:
When dividing 141 by 25, we get 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 24385.0
If we take 125 away from 141, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
25 goes into 160 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 24385.6
Subtract 150 from 160 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
25 goes into 100 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 24385.64
If we subtract 100 from 100, 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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 24385.64
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.

Moving on to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 24385.64
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.

The final result is 24385.64 with a remainder of 0.0.