345667 ÷ 6 
The aim is to understand the frequency of 6 in 345667.

On to step 1:
6 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

Let's proceed to step 2:
If we divide 34 by 6, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 30 from 34 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Advancing to step 3:
If we divide 45 by 6, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we take 42 away from 45, we end up with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 6

Step 4:
When dividing 36 by 6, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 576.0
Subtract 36 from 36 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 6

Advancing to step 5:
6 can be fit into 6 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 5761.0
Deduct 6 from 6 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 6

Let's proceed to step 6:
6 goes into 7 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 57611.0
Subtract 6 from 7 to 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.

Step 7:
10 divided by 6 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 57611.1
The remainder is 4 after subtracting 6 from 10.
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.
Write down 6 as next digit of the result. 
Result so far: 57611.16
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.

On to step 9:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 57611.166
Subtract 36 from 40 to 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.

The final result is 57611.166 with a remainder of 0.0004.