We look at the division of 874581 by 25 
We're looking to find how many times 25 goes into 874581.

Going ahead to step 1:
The number 25 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 25

Advancing to step 2:
The number 25 fits into 87 3 times, leaving a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 75 away from 87, we end up with 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 25

Step 3:
If we divide 124 by 25, we get 4 and a remainder of 24.
The next digit of our result is 4. 
Result so far: 34.0
Subtract 100 from 124 to get 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 25

Advancing to step 4:
The number 25 fits into 245 9 times, leaving a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 349.0
Deduct 225 from 245 and we're left with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 25

On to step 5:
25 goes into 208 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 3498.0
Subtract 200 from 208 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 25

Advancing to step 6:
The number 25 fits into 81 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 34983.0
If we take 75 away from 81, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
25 goes into 60 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 34983.2
If we take 50 away from 60, 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:
When dividing 100 by 25, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 34983.24
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:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 34983.24
The remainder is 0 after subtracting 0 from 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 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 34983.24
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 34983.24 with a balance of 0.0.