We're dividing 872681 by 25 
Let's see how many times 25 fits into 872681.

Moving on to step 1:
8 divided by 25 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 25

Going ahead to step 2:
87 divided by 25 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 75 from 87 and we're left with 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 25

Let's proceed to step 3:
If we divide 122 by 25, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we take 100 away from 122, we end up with 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 25

Advancing to step 4:
If we divide 226 by 25, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 349.0
Subtract 225 from 226 to get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 25

Going ahead to step 5:
The number 25 fits into 18 0 times, leaving a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 3490.0
Deduct 0 from 18 and we're left with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 25

Going ahead to step 6:
If we divide 181 by 25, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 34907.0
If we subtract 175 from 181, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
60 divided by 25 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 34907.2
Subtract 50 from 60 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.

Advancing to step 8:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 34907.24
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.

Step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 34907.24
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.

Going ahead to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 34907.24
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.

In conclusion, the division gives 34907.24 with a balance of 0.0.