We're dividing 582914 by 25 
Our goal is to divide 582914 by 25.

Advancing to step 1:
5 divided by 25 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 25

Going ahead to step 2:
When dividing 58 by 25, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 8 after subtracting 50 from 58.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 25

Let's proceed to step 3:
When dividing 82 by 25, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 23.0
Subtract 75 from 82 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 25

Moving on to step 4:
The number 25 fits into 79 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 233.0
Subtract 75 from 79 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 25

Step 5:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 2331.0
Deduct 25 from 41 and we're left with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 25

Let's proceed to step 6:
The number 25 fits into 164 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 23316.0
If we take 150 away from 164, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
25 can be fit into 140 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 23316.5
Subtract 125 from 140 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
When dividing 150 by 25, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 23316.56
If we subtract 150 from 150, 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 9:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 23316.56
If we take 0 away from 0, 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 10:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 23316.56
Subtract 0 from 0 to 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 23316.56 with a balance of 0.0.