We look at the division of 109685 by 6 
The aim is to understand the frequency of 6 in 109685.

Advancing to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 6

Moving on to step 2:
6 goes into 10 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 6 from 10.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 6

Moving on to step 3:
6 goes into 49 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 18.0
The remainder is 1 after subtracting 48 from 49.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 6

Advancing to step 4:
6 can be fit into 16 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 182.0
If we take 12 away from 16, we end up with 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 6

On to step 5:
When dividing 48 by 6, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 1828.0
The remainder is 0 after subtracting 48 from 48.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Moving on to step 6:
6 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 18280.0
The remainder is 5 after subtracting 0 from 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:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 18280.8
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:
When dividing 20 by 6, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 18280.83
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.

On to step 9:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 18280.833
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.

Our division results in 18280.833 with a remaining 0.0002.