We divide 123641 by 25
Our goal is to divide 123641 by 25.

Going ahead to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 25

Step 2:
When dividing 12 by 25, we get 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 25

Advancing to step 3:
The number 25 fits into 123 4 times, leaving a remainder of 23.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 100 from 123 to get 23.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 25

Going ahead to step 4:
The number 25 fits into 236 9 times, leaving a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
If we subtract 225 from 236, we get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 25

Advancing to step 5:
25 goes into 114 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 494.0
If we take 100 away from 114, we end up with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 25

On to step 6:
141 divided by 25 is 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 4945.0
If we subtract 125 from 141, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
The number 25 fits into 160 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 4945.6
If we subtract 150 from 160, we 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.

Step 8:
The number 25 fits into 100 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4945.64
If we take 100 away from 100, we end up 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 9:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4945.64
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.

Step 10:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4945.64
Subtracting 0 from 0 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.

After the division, we end up with 4945.64 and a remainder of 0.0.