509506 ÷ 82 
The aim is to understand the frequency of 82 in 509506.

Let's proceed to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 82

On to step 2:
50 divided by 82 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 82

On to step 3:
82 can be fit into 509 6 times, resulting in a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 492 from 509 to get 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 82

On to step 4:
When dividing 175 by 82, we get 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtracting 164 from 175 leaves us with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 82

On to step 5:
If we divide 110 by 82, we get 1 and a remainder of 28.
The next digit of our result is 1. 
Result so far: 621.0
If we subtract 82 from 110, we get 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 82

Let's proceed to step 6:
82 goes into 286 3 times with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 6213.0
The remainder is 40 after subtracting 246 from 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
82 goes into 400 4 times with a remainder of 72.
Write down 4 as next digit of the result. 
Result so far: 6213.4
Subtract 328 from 400 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
82 can be fit into 720 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 6213.48
Subtract 656 from 720 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
82 can be fit into 640 7 times, resulting in a remainder of 66.
The number 7 becomes the next digit in our result. 
Result so far: 6213.487
Subtracting 574 from 640 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 10:
The number 82 fits into 660 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 6213.4878
If we take 656 away from 660, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
82 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6213.4878
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
When dividing 400 by 82, we get 4 with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 6213.487804
Subtract 328 from 400 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 13:
The number 82 fits into 720 8 times, leaving a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 6213.4878048
Subtracting 656 from 720 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 14:
If we divide 640 by 82, we get 7 and a remainder of 66.
The next digit of our result is 7. 
Result so far: 6213.48780487
If we take 574 away from 640, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 6213.48780487 with a remainder of 6.6e-08.