505013 ÷ 82 
The aim is to understand the frequency of 82 in 505013.

Let's proceed to step 1:
5 divided by 82 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 82

Moving on to step 2:
When dividing 50 by 82, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 82

Going ahead to step 3:
If we divide 505 by 82, we get 6 and a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 492 from 505 and we're left with 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 82

Let's proceed to step 4:
If we divide 130 by 82, we get 1 and a remainder of 48.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtracting 82 from 130 leaves us with 48.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 82

Advancing to step 5:
The number 82 fits into 481 5 times, leaving a remainder of 71.
The next digit of our result is 5. 
Result so far: 615.0
Subtract 410 from 481 to get 71.
Take the next digit (3) from the dividend and append it to 71, then repeat: 713 / 82

Step 6:
When dividing 713 by 82, we get 8 with a remainder of 57.
The next digit of our result is 8. 
Result so far: 6158.0
If we take 656 away from 713, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
570 divided by 82 is 6 with a remainder of 78.
The next digit of our result is 6. 
Result so far: 6158.6
Subtract 492 from 570 to 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.

Step 8:
82 can be fit into 780 9 times, resulting in a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 6158.69
Subtracting 738 from 780 leaves us 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 9:
If we divide 420 by 82, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6158.695
Deduct 410 from 420 and we're left 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.

On to step 10:
When dividing 100 by 82, we get 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 6158.6951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
82 can be fit into 180 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 6158.69512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
82 goes into 160 1 times with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 6158.695121
Subtracting 82 from 160 leaves us 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.

On to step 13:
The number 82 fits into 780 9 times, leaving a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 6158.6951219
Subtracting 738 from 780 leaves us 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 14:
When dividing 420 by 82, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 6158.69512195
Subtract 410 from 420 to get 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 quotient of the division is 6158.69512195, and the remainder is 1e-08.