We divide 112577 by 25
We want to divide 112577 by 25.

Let's proceed to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 25

Advancing to step 2:
When dividing 11 by 25, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 25

Step 3:
The number 25 fits into 112 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 100 from 112 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 25

Let's proceed to step 4:
25 can be fit into 125 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 45.0
Deduct 125 from 125 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 25

On to step 5:
25 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 450.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 25

On to step 6:
25 goes into 77 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 4503.0
Subtract 75 from 77 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
The number 25 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4503.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 25, we get 8 and a remainder of 0.
The next digit of our result is 8. 
Result so far: 4503.08
Subtracting 200 from 200 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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4503.08
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.

Moving on to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4503.08
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.

In conclusion, the division gives 4503.08 with a balance of 0.0.