We look at the division of 430678 by 97 
The aim is to understand the frequency of 97 in 430678.

Advancing to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 97

Advancing to step 2:
43 divided by 97 is 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 97

On to step 3:
430 divided by 97 is 4 with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 388 away from 430, we end up with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 97

Moving on to step 4:
426 divided by 97 is 4 with a remainder of 38.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 38 after subtracting 388 from 426.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 97

Going ahead to step 5:
97 can be fit into 387 3 times, resulting in a remainder of 96.
Use 3 as the next digit of our solution. 
Result so far: 443.0
Subtracting 291 from 387 leaves us with 96.
Append the next digit (8) from the dividend to 96 and continue with: 968 / 97

Advancing to step 6:
97 goes into 968 9 times with a remainder of 95.
The next digit of our result is 9. 
Result so far: 4439.0
Subtract 873 from 968 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 7:
The number 97 fits into 950 9 times, leaving a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 4439.9
Subtracting 873 from 950 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 8:
If we divide 770 by 97, we get 7 and a remainder of 91.
Use 7 as the next digit of our solution. 
Result so far: 4439.97
The remainder is 91 after subtracting 679 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 9:
97 can be fit into 910 9 times, resulting in a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 4439.979
The remainder is 37 after subtracting 873 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
97 goes into 370 3 times with a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 4439.9793
The remainder is 79 after subtracting 291 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 11:
97 can be fit into 790 8 times, resulting in a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 4439.97938
The remainder is 14 after subtracting 776 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
When dividing 140 by 97, we get 1 with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 4439.979381
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 13:
When dividing 430 by 97, we get 4 with a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 4439.9793814
The remainder is 42 after subtracting 388 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
When dividing 420 by 97, we get 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 4439.97938144
If we subtract 388 from 420, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4439.97938144 with a balance of 3.2e-08.