We look at the division of 259840 by 25 
Our goal is to divide 259840 by 25.

Going ahead to step 1:
25 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 25

Let's proceed to step 2:
The number 25 fits into 25 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 0 after subtracting 25 from 25.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 25

Advancing to step 3:
25 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 25

Moving on to step 4:
25 goes into 98 3 times with a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
If we take 75 away from 98, we end up with 23.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 25

Advancing to step 5:
25 goes into 234 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 1039.0
The remainder is 9 after subtracting 225 from 234.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 25

Let's proceed to step 6:
25 goes into 90 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 10393.0
The remainder is 15 after subtracting 75 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
25 goes into 150 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 10393.6
Subtracting 150 from 150 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 8:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 10393.6
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.

Advancing to step 9:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10393.6
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 final result is 10393.6 with a remainder of 0.0.