We look at the division of 269640 by 25 
We want to divide 269640 by 25.

Going ahead to step 1:
2 divided by 25 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 25

On to step 2:
26 divided by 25 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 25 from 26 leaves us with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 25

Moving on to step 3:
The number 25 fits into 19 0 times, leaving a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 19 to get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 25

On to step 4:
The number 25 fits into 196 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we take 175 away from 196, we end up with 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 25

Let's proceed to step 5:
25 goes into 214 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 1078.0
Subtract 200 from 214 to get 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 25

Let's proceed to step 6:
The number 25 fits into 140 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 10785.0
If we subtract 125 from 140, 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.

Step 7:
When dividing 150 by 25, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 10785.6
If we take 150 away from 150, 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.

Going ahead to step 8:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10785.6
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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10785.6
Subtract 0 from 0 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.

The quotient of the division is 10785.6, and the remainder is 0.0.