We're dividing 311513 by 6 
The aim is to understand the frequency of 6 in 311513.

Let's proceed to step 1:
The number 6 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 6

On to step 2:
The number 6 fits into 31 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 30 from 31 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 6

Advancing to step 3:
When dividing 11 by 6, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 51.0
Subtracting 6 from 11 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 6

Advancing to step 4:
55 divided by 6 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 519.0
If we take 54 away from 55, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 6

Let's proceed to step 5:
11 divided by 6 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 5191.0
Deduct 6 from 11 and we're left with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 6

Step 6:
6 goes into 53 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 51918.0
If we take 48 away from 53, 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:
When dividing 50 by 6, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 51918.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 6 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 51918.83
If we take 18 away from 20, we end up 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.

Going ahead to step 9:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 51918.833
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.

In conclusion, the division gives 51918.833 with a balance of 0.0002.