We look at the division of 409795 by 97 
The aim is to understand the frequency of 97 in 409795.

Step 1:
97 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 97

Going ahead to step 2:
When dividing 40 by 97, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 97

Going ahead to step 3:
The number 97 fits into 409 4 times, leaving a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 388 from 409 and we're left with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 97

Advancing to step 4:
The number 97 fits into 217 2 times, leaving a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we take 194 away from 217, we end up with 23.
Fetch the next digit (9) from the dividend, attach it to 23 and continue: 239 / 97

On to step 5:
When dividing 239 by 97, we get 2 with a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 422.0
Subtract 194 from 239 to get 45.
Take the next digit (5) from the dividend and append it to 45, then repeat: 455 / 97

Moving on to step 6:
97 can be fit into 455 4 times, resulting in a remainder of 67.
The number 4 becomes the next digit in our result. 
Result so far: 4224.0
Subtracting 388 from 455 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
If we divide 670 by 97, we get 6 and a remainder of 88.
Use 6 as the next digit of our solution. 
Result so far: 4224.6
Subtracting 582 from 670 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 8:
If we divide 880 by 97, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 4224.69
If we subtract 873 from 880, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
If we divide 70 by 97, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 4224.69
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
When dividing 700 by 97, we get 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 4224.6907
Subtract 679 from 700 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
When dividing 210 by 97, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 4224.69072
Deduct 194 from 210 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
97 can be fit into 160 1 times, resulting in a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 4224.690721
If we take 97 away from 160, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 13:
The number 97 fits into 630 6 times, leaving a remainder of 48.
The next digit of our result is 6. 
Result so far: 4224.6907216
If we take 582 away from 630, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
If we divide 480 by 97, we get 4 and a remainder of 92.
The next digit of our result is 4. 
Result so far: 4224.69072164
The remainder is 92 after subtracting 388 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

In conclusion, the division gives 4224.69072164 with a balance of 9.2e-08.