We're dividing 422842 by 25 
We're looking to find how many times 25 goes into 422842.

Going ahead to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 25

On to step 2:
42 divided by 25 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 25 from 42 to get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 25

Step 3:
The number 25 fits into 172 6 times, leaving a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 150 from 172, we get 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 25

Let's proceed to step 4:
25 goes into 228 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 169.0
If we subtract 225 from 228, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 25

Going ahead to step 5:
If we divide 34 by 25, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 1691.0
Subtract 25 from 34 to get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 25

Moving on to step 6:
25 can be fit into 92 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 16913.0
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.

On to step 7:
170 divided by 25 is 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 16913.6
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.

On to step 8:
25 can be fit into 200 8 times, resulting in a remainder of 0.
The next digit of our result is 8. 
Result so far: 16913.68
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.

On to step 9:
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: 16913.68
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.

On to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16913.68
Deduct 0 from 0 and we're left 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 16913.68, with a leftover of 0.0.