259929 ÷ 6 
The aim is to understand the frequency of 6 in 259929.

Step 1:
If we divide 2 by 6, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 6

Let's proceed to step 2:
The number 6 fits into 25 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 24 from 25 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 6

Going ahead to step 3:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we subtract 18 from 19, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 6

Let's proceed to step 4:
If we divide 19 by 6, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 433.0
Subtract 18 from 19 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 5:
6 goes into 12 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 4332.0
Subtract 12 from 12 to get 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 6

Step 6:
If we divide 9 by 6, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 43321.0
Subtract 6 from 9 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 6 fits into 30 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 43321.5
Subtract 30 from 30 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 6, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 43321.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 6 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 43321.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 43321.5 and a remainder of 0.0.