We're dividing 416374 by 6 
The aim is to understand the frequency of 6 in 416374.

Advancing to step 1:
6 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 6

Let's proceed to step 2:
6 can be fit into 41 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 36 from 41, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 6

On to step 3:
When dividing 56 by 6, we get 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we take 54 away from 56, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 6

Advancing to step 4:
The number 6 fits into 23 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 693.0
The remainder is 5 after subtracting 18 from 23.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

Moving on to step 5:
6 can be fit into 57 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 6939.0
If we subtract 54 from 57, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 6

Moving on to step 6:
6 goes into 34 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 69395.0
Subtracting 30 from 34 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 69395.6
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
40 divided by 6 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 69395.66
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 69395.66 with a remainder of 0.004.