We look at the division of 97261 by 6 
The aim is to understand the frequency of 6 in 97261.

Step 1:
9 divided by 6 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 6 from 9 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Moving on to step 2:
The number 6 fits into 37 6 times, leaving a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 36 from 37 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 3:
When dividing 12 by 6, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
The remainder is 0 after subtracting 12 from 12.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 6

Step 4:
The number 6 fits into 6 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1621.0
Subtract 6 from 6 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 6

Moving on to step 5:
6 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 16210.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
If we divide 10 by 6, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 16210.1
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.

Advancing to step 7:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 16210.16
If we subtract 36 from 40, 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.

Step 8:
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: 16210.166
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.

Our division results in 16210.166 with a remaining 0.0004.