We divide 565871 by 25
We're looking to find how many times 25 goes into 565871.

Going ahead to step 1:
The number 25 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 25

Moving on to step 2:
25 goes into 56 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 50 away from 56, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 25

Let's proceed to step 3:
When dividing 65 by 25, we get 2 with a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 22.0
If we subtract 50 from 65, we get 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 25

Advancing to step 4:
25 can be fit into 158 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 226.0
Deduct 150 from 158 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 25

Advancing to step 5:
The number 25 fits into 87 3 times, leaving a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 2263.0
The remainder is 12 after subtracting 75 from 87.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 25

Going ahead to step 6:
The number 25 fits into 121 4 times, leaving a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 22634.0
Subtracting 100 from 121 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 22634.8
Subtracting 200 from 210 leaves us 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.

Let's proceed to step 8:
25 goes into 100 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 22634.84
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.

Going ahead to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 22634.84
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.

Step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 22634.84
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.

The final result is 22634.84 with a remainder of 0.0.