We look at the division of 115684 by 25 
We're looking to find how many times 25 goes into 115684.

Let's proceed to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 25

On to step 2:
11 divided by 25 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 25

Let's proceed to step 3:
25 goes into 115 4 times with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 100 away from 115, we end up with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 25

Moving on to step 4:
If we divide 156 by 25, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Deduct 150 from 156 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 25

On to step 5:
If we divide 68 by 25, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 462.0
If we take 50 away from 68, we end up with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 25

Moving on to step 6:
If we divide 184 by 25, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 4627.0
Subtract 175 from 184 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
25 can be fit into 90 3 times, resulting in a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 4627.3
If we take 75 away from 90, we end up with 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:
25 can be fit into 150 6 times, resulting in a remainder of 0.
The next digit of our result is 6. 
Result so far: 4627.36
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.

Moving on to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4627.36
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.

Let's proceed to step 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4627.36
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.

Our division results in 4627.36 with a remaining 0.0.