We look at the division of 268896 by 25 
We want to figure out the number of times 268896 can be divided by 25.

Let's proceed to step 1:
25 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 25

Advancing to step 2:
25 can be fit into 26 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 25 from 26 leaves us with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 25

Let's proceed to step 3:
18 divided by 25 is 0 with a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 18 and we're left with 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 25

Going ahead to step 4:
If we divide 188 by 25, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 107.0
The remainder is 13 after subtracting 175 from 188.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 25

Step 5:
When dividing 139 by 25, we get 5 with a remainder of 14.
The next digit of our result is 5. 
Result so far: 1075.0
Subtracting 125 from 139 leaves us with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 25

Let's proceed to step 6:
The number 25 fits into 146 5 times, leaving a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 10755.0
If we subtract 125 from 146, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
25 goes into 210 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 10755.8
The remainder is 10 after subtracting 200 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
25 goes into 100 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 10755.84
If we take 100 away from 100, 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.

Let's proceed to 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: 10755.84
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.

On to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10755.84
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.

The final result is 10755.84 with a remainder of 0.0.