We're dividing 21254 by 82 
We're looking to find how many times 82 goes into 21254.

Going ahead to step 1:
The number 82 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 82

Moving on to step 2:
If we divide 21 by 82, we get 0 and a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 82

Let's proceed to step 3:
The number 82 fits into 212 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 164 from 212 leaves us with 48.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 82

Going ahead to step 4:
If we divide 485 by 82, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtracting 410 from 485 leaves us with 75.
Take the next digit (4) from the dividend and append it to 75, then repeat: 754 / 82

On to step 5:
82 can be fit into 754 9 times, resulting in a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 259.0
Subtract 738 from 754 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 6:
When dividing 160 by 82, we get 1 with a remainder of 78.
The next digit of our result is 1. 
Result so far: 259.1
If we subtract 82 from 160, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 7:
When dividing 780 by 82, we get 9 with a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 259.19
If we subtract 738 from 780, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
82 can be fit into 420 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 259.195
If we take 410 away from 420, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 82 fits into 100 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 259.1951
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
82 goes into 180 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 259.19512
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
If we divide 160 by 82, we get 1 and a remainder of 78.
Use 1 as the next digit of our solution. 
Result so far: 259.195121
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 12:
780 divided by 82 is 9 with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 259.1951219
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
When dividing 420 by 82, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 259.19512195
If we take 410 away from 420, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 259.19512195 with a remainder of 1e-08.