145967 ÷ 6 
The aim is to understand the frequency of 6 in 145967.

On to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Advancing to step 2:
6 can be fit into 14 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
If we take 12 away from 14, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 6

Advancing to step 3:
When dividing 25 by 6, we get 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 24.0
If we subtract 24 from 25, we get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 6

On to step 4:
6 can be fit into 19 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 243.0
Subtracting 18 from 19 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 6

Advancing to step 5:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2432.0
If we take 12 away from 16, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 6

Step 6:
If we divide 47 by 6, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 24327.0
If we take 42 away from 47, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 24327.8
If we take 48 away from 50, 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.

Let's proceed to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 24327.83
Deduct 18 from 20 and we're left 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.

Moving on to step 9:
6 goes into 20 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 24327.833
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.

After the division, we end up with 24327.833 and a remainder of 0.0002.