Let's divide 580649 by 25
Our goal is to divide 580649 by 25.

Step 1:
25 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 25

Step 2:
58 divided by 25 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 50 from 58, we get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 25

Going ahead to step 3:
The number 25 fits into 80 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 75 from 80, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 25

On to step 4:
25 goes into 56 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 232.0
Subtracting 50 from 56 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 25

On to step 5:
When dividing 64 by 25, we get 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 2322.0
Subtract 50 from 64 to get 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 25

Let's proceed to step 6:
25 goes into 149 5 times with a remainder of 24.
The next digit of our result is 5. 
Result so far: 23225.0
The remainder is 24 after subtracting 125 from 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 25, we get 9 and a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 23225.9
If we subtract 225 from 240, we 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.

Let's proceed to step 8:
The number 25 fits into 150 6 times, leaving a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 23225.96
Subtract 150 from 150 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.

Let's proceed to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 23225.96
Subtracting 0 from 0 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.

Advancing to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 23225.96
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.

In conclusion, the division gives 23225.96 with a balance of 0.0.