Let's divide 637161 by 25
We want to divide 637161 by 25.

Moving on to step 1:
25 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
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

Moving on to step 2:
63 divided by 25 is 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 50 away from 63, we end up with 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 25

Going ahead to step 3:
25 can be fit into 137 5 times, resulting in a remainder of 12.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 125 from 137 leaves us with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 25

Going ahead to step 4:
The number 25 fits into 121 4 times, leaving a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 254.0
Deduct 100 from 121 and we're left with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 25

Going ahead to step 5:
25 goes into 216 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 2548.0
The remainder is 16 after subtracting 200 from 216.
Grab the next digit (1) from the dividend, add it to 16, then carry on: 161 / 25

Advancing to step 6:
The number 25 fits into 161 6 times, leaving a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 25486.0
If we subtract 150 from 161, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
25 goes into 110 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 25486.4
If we take 100 away from 110, we end up with 10.
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:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 25486.44
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.

In conclusion, the division gives 25486.44 with a balance of 0.0.