422263 ÷ 25 
Our goal is to divide 422263 by 25.

Going ahead to step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 25

Step 2:
25 can be fit into 42 1 times, resulting in a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 25 away from 42, we end up with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 25

On to step 3:
25 can be fit into 172 6 times, resulting in a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 150 from 172 to get 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 25

Going ahead to step 4:
222 divided by 25 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 168.0
Subtract 200 from 222 to get 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 25

Advancing to step 5:
25 can be fit into 226 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 1689.0
If we take 225 away from 226, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 25

Moving on to step 6:
25 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 16890.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
130 divided by 25 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 16890.5
If we subtract 125 from 130, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 16890.52
The remainder is 0 after subtracting 50 from 50.
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 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16890.52
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.

Let's proceed to step 10:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16890.52
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.

The quotient of the division is 16890.52, and the remainder is 0.0.