683107 ÷ 6 
The aim is to understand the frequency of 6 in 683107.

Let's proceed to step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 6 from 6 leaves us with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 6

On to step 2:
When dividing 8 by 6, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 2 after subtracting 6 from 8.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 6

Moving on to step 3:
23 divided by 6 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Subtract 18 from 23 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

On to step 4:
When dividing 51 by 6, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 1138.0
If we subtract 48 from 51, we get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 6

Going ahead to step 5:
When dividing 30 by 6, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 11385.0
If we take 30 away from 30, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 6

Step 6:
If we divide 7 by 6, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 113851.0
If we subtract 6 from 7, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 6, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 113851.1
If we subtract 6 from 10, we get 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 8:
If we divide 40 by 6, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 113851.16
Deduct 36 from 40 and we're left 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 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 113851.166
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.

After the division, we end up with 113851.166 and a remainder of 0.0004.