We look at the division of 441314 by 6 
The aim is to understand the frequency of 6 in 441314.

On to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 6

Step 2:
44 divided by 6 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 42 from 44 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 6

Moving on to step 3:
21 divided by 6 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 73.0
The remainder is 3 after subtracting 18 from 21.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 6

Advancing to step 4:
6 can be fit into 33 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 735.0
If we take 30 away from 33, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 6

Moving on to step 5:
The number 6 fits into 31 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 7355.0
If we subtract 30 from 31, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 6

Let's proceed to step 6:
14 divided by 6 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 73552.0
Subtracting 12 from 14 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.

Advancing to step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 73552.3
The remainder is 2 after subtracting 18 from 20.
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:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 73552.33
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.

The quotient of the division is 73552.33, and the remainder is 0.002.