We look at the division of 813557 by 6 
The aim is to understand the frequency of 6 in 813557.

Let's proceed to step 1:
6 can be fit into 8 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 6 from 8 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Advancing to step 2:
6 goes into 21 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 3 after subtracting 18 from 21.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 6

On to step 3:
When dividing 33 by 6, we get 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 135.0
If we subtract 30 from 33, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 6

Moving on to step 4:
The number 6 fits into 35 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1355.0
Subtracting 30 from 35 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

On to step 5:
The number 6 fits into 55 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 13559.0
If we subtract 54 from 55, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Going ahead to step 6:
When dividing 17 by 6, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 135592.0
If we take 12 away from 17, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
6 can be fit into 50 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 135592.8
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 goes into 20 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 135592.83
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
20 divided by 6 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 135592.833
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 135592.833 with a remainder of 0.0002.