We look at the division of 579111 by 25 
We're looking to find how many times 25 goes into 579111.

Step 1:
When dividing 5 by 25, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 25

Moving on to step 2:
25 goes into 57 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 50 from 57 to get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 25

Step 3:
79 divided by 25 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtracting 75 from 79 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 25

Advancing to step 4:
25 can be fit into 41 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 231.0
Subtract 25 from 41 to get 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 25

Advancing to step 5:
When dividing 161 by 25, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 2316.0
Subtracting 150 from 161 leaves us with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 25

Step 6:
When dividing 111 by 25, we get 4 with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 23164.0
If we subtract 100 from 111, 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.

Going ahead to step 7:
When dividing 110 by 25, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 23164.4
Subtract 100 from 110 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.

Let's proceed 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: 23164.44
Deduct 100 from 100 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.

In conclusion, the division gives 23164.44 with a balance of 0.0.