We're dividing 205422 by 82 
The aim is to understand the frequency of 82 in 205422.

Moving on to step 1:
If we divide 2 by 82, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 82

Let's proceed to step 2:
The number 82 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 82

Let's proceed to step 3:
If we divide 205 by 82, we get 2 and a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 164 from 205 and we're left with 41.
Fetch the next digit (4) from the dividend, attach it to 41 and continue: 414 / 82

Moving on to step 4:
414 divided by 82 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 25.0
Subtracting 410 from 414 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 82

On to step 5:
When dividing 42 by 82, we get 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 250.0
Subtracting 0 from 42 leaves us with 42.
Fetch the next digit (2) from the dividend, attach it to 42 and continue: 422 / 82

Step 6:
82 can be fit into 422 5 times, resulting in a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 2505.0
If we subtract 410 from 422, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
82 goes into 120 1 times with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 2505.1
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
If we divide 380 by 82, we get 4 and a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 2505.14
If we subtract 328 from 380, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
When dividing 520 by 82, we get 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 2505.146
Subtracting 492 from 520 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 10:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 2505.1463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
If we divide 340 by 82, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 2505.14634
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
If we divide 120 by 82, we get 1 and a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 2505.146341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 13:
380 divided by 82 is 4 with a remainder of 52.
The next digit of our result is 4. 
Result so far: 2505.1463414
The remainder is 52 after subtracting 328 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 14:
The number 82 fits into 520 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 2505.14634146
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 2505.14634146 with a remainder of 2.8e-08.