We're dividing 21238 by 25 
We're looking to find how many times 25 goes into 21238.

Advancing to step 1:
If we divide 2 by 25, we get 0 and 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.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 25

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
Deduct 0 from 21 and we're left with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 25

Let's proceed 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
Deduct 200 from 212 and we're left with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 25

Advancing to step 4:
123 divided by 25 is 4 with a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 84.0
Deduct 100 from 123 and we're left with 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 25

On to step 5:
25 goes into 238 9 times with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 849.0
Subtract 225 from 238 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 6:
When dividing 130 by 25, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 849.5
Subtract 125 from 130 to 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.

Step 7:
25 can be fit into 50 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 849.52
Subtracting 50 from 50 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 8:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 849.52
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.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 849.52
Subtract 0 from 0 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.

The quotient of the division is 849.52, and the remainder is 0.0.