We look at the division of 172902 by 82 
The aim is to understand the frequency of 82 in 172902.

Step 1:
If we divide 1 by 82, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 82

Let's proceed to step 2:
17 divided by 82 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 82

Let's proceed to step 3:
82 goes into 172 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 164 from 172 leaves us with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 82

On to step 4:
If we divide 89 by 82, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
The remainder is 7 after subtracting 82 from 89.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 82

Moving on to step 5:
The number 82 fits into 70 0 times, leaving a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 210.0
If we subtract 0 from 70, we get 70.
Include the next digit (2) from the dividend after 70, then repeat: 702 / 82

Step 6:
702 divided by 82 is 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 2108.0
Subtracting 656 from 702 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
82 can be fit into 460 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 2108.5
Subtract 410 from 460 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
82 can be fit into 500 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 2108.56
If we take 492 away from 500, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
If we divide 80 by 82, we get 0 and a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 2108.56
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
When dividing 800 by 82, we get 9 with a remainder of 62.
Use 9 as the next digit of our solution. 
Result so far: 2108.5609
Subtract 738 from 800 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
The number 82 fits into 620 7 times, leaving a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 2108.56097
Subtract 574 from 620 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 12:
The number 82 fits into 460 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 2108.560975
The remainder is 50 after subtracting 410 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
82 can be fit into 500 6 times, resulting in a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 2108.5609756
If we take 492 away from 500, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
If we divide 80 by 82, we get 0 and a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 2108.5609756
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The quotient of the division is 2108.5609756, and the remainder is 8e-08.