We look at the division of 257026 by 25 
We're looking to find how many times 25 goes into 257026.

Step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 25

On to step 2:
25 can be fit into 25 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 25 away from 25, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 25

Advancing to step 3:
The number 25 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 25

Going ahead to step 4:
If we divide 70 by 25, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 102.0
Subtract 50 from 70 to get 20.
Append the next digit (2) from the dividend to 20 and continue with: 202 / 25

Advancing to step 5:
25 goes into 202 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1028.0
The remainder is 2 after subtracting 200 from 202.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 25

On to step 6:
When dividing 26 by 25, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 10281.0
If we take 25 away from 26, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
25 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10281.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead 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: 10281.04
If we subtract 100 from 100, 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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10281.04
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.

Moving on to step 10:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10281.04
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 10281.04 and a remainder of 0.0.