We're dividing 257004 by 25 
Let's see how many times 25 fits into 257004.

On to step 1:
The number 25 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 25

Advancing to step 2:
When dividing 25 by 25, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 25 from 25, we get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 25

Moving on to step 3:
25 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 7, we end up with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 25

Step 4:
The number 25 fits into 70 2 times, leaving a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtracting 50 from 70 leaves us with 20.
Include the next digit (0) from the dividend after 20, then repeat: 200 / 25

Step 5:
25 can be fit into 200 8 times, resulting in a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 1028.0
If we subtract 200 from 200, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 25

Step 6:
25 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10280.0
Deduct 0 from 4 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
The number 25 fits into 40 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 10280.1
If we take 25 away from 40, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
The number 25 fits into 150 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 10280.16
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.

Let's proceed to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10280.16
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 10:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10280.16
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.

The final outcome is 10280.16, with a leftover of 0.0.