We look at the division of 412355 by 97 
The aim is to understand the frequency of 97 in 412355.

Going ahead to step 1:
97 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 97

Let's proceed to step 2:
97 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 97

Let's proceed to step 3:
97 goes into 412 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 388 from 412 and we're left with 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 97

Step 4:
97 can be fit into 243 2 times, resulting in a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Subtract 194 from 243 to get 49.
Append the next digit (5) from the dividend to 49 and continue with: 495 / 97

Let's proceed to step 5:
When dividing 495 by 97, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 425.0
If we subtract 485 from 495, we get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 97

Let's proceed to step 6:
97 can be fit into 105 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 4251.0
If we take 97 away from 105, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
When dividing 80 by 97, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 4251.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 8:
800 divided by 97 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 4251.08
The remainder is 24 after subtracting 776 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
When dividing 240 by 97, we get 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 4251.082
Subtracting 194 from 240 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 10:
97 goes into 460 4 times with a remainder of 72.
Write down 4 as next digit of the result. 
Result so far: 4251.0824
Deduct 388 from 460 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 11:
The number 97 fits into 720 7 times, leaving a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 4251.08247
If we take 679 away from 720, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 12:
97 can be fit into 410 4 times, resulting in a remainder of 22.
The next digit of our result is 4. 
Result so far: 4251.082474
Deduct 388 from 410 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
97 can be fit into 220 2 times, resulting in a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 4251.0824742
Subtracting 194 from 220 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
If we divide 260 by 97, we get 2 and a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 4251.08247422
Subtract 194 from 260 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 4251.08247422 with a balance of 6.6e-08.