We're dividing 21257842 by 25 
We want to divide 21257842 by 25.

Let's proceed to step 1:
25 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 25

Moving on to step 2:
When dividing 21 by 25, we get 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 25

On to step 3:
25 goes into 212 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 200 from 212 leaves us with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 25

On to step 4:
25 goes into 125 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 125 away from 125, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 25

Going ahead to step 5:
25 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 850.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 25

Going ahead to step 6:
When dividing 78 by 25, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 8503.0
Deduct 75 from 78 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 25

Moving on to step 7:
34 divided by 25 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 85031.0
If we take 25 away from 34, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 25

Going ahead to step 8:
25 goes into 92 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 850313.0
Subtract 75 from 92 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
When dividing 170 by 25, we get 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 850313.6
The remainder is 20 after subtracting 150 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
25 goes into 200 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 850313.68
Subtract 200 from 200 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.

Going ahead to step 11:
25 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 850313.68
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.

Step 12:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 850313.68
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.

In conclusion, the division gives 850313.68 with a balance of 0.0.