260127 ÷ 25 
We want to divide 260127 by 25.

Step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 25

Advancing to step 2:
The number 25 fits into 26 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 25 from 26 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 25

Let's proceed to step 3:
25 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 10, we get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 25

Advancing to step 4:
101 divided by 25 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
If we take 100 away from 101, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 25

Moving on to step 5:
25 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 1040.0
If we subtract 0 from 12, we get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 25

Advancing to step 6:
The number 25 fits into 127 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 10405.0
Subtracting 125 from 127 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
25 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10405.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 25 is 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 10405.08
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.

Going ahead to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10405.08
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.

Going ahead to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10405.08
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.

The final outcome is 10405.08, with a leftover of 0.0.