334113 ÷ 6 
The aim is to understand the frequency of 6 in 334113.

Step 1:
3 divided by 6 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 6

On to step 2:
6 goes into 33 5 times with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 30 from 33 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 6

Let's proceed to step 3:
6 goes into 34 5 times with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Subtracting 30 from 34 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 6

On to step 4:
6 can be fit into 41 6 times, resulting in a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 556.0
If we subtract 36 from 41, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 6

Let's proceed to step 5:
51 divided by 6 is 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 5568.0
Subtracting 48 from 51 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 6

Going ahead to step 6:
33 divided by 6 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 55685.0
Subtract 30 from 33 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
6 can be fit into 30 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 55685.5
Subtracting 30 from 30 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
6 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 55685.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
6 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 55685.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 55685.5, with a leftover of 0.0.