We look at the division of 149729 by 97 
The aim is to understand the frequency of 97 in 149729.

Moving on to step 1:
1 divided by 97 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 97

Step 2:
14 divided by 97 is 0 with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 97

Step 3:
97 can be fit into 149 1 times, resulting in a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 97 from 149 to get 52.
Take the next digit (7) from the dividend and append it to 52, then repeat: 527 / 97

Going ahead to step 4:
The number 97 fits into 527 5 times, leaving a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 485 from 527, we get 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 97

On to step 5:
When dividing 422 by 97, we get 4 with a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 154.0
If we take 388 away from 422, we end up with 34.
Take the next digit (9) from the dividend and append it to 34, then repeat: 349 / 97

Going ahead to step 6:
97 can be fit into 349 3 times, resulting in a remainder of 58.
Write down 3 as next digit of the result. 
Result so far: 1543.0
Deduct 291 from 349 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 7:
When dividing 580 by 97, we get 5 with a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 1543.5
If we take 485 away from 580, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Going ahead to step 8:
97 can be fit into 950 9 times, resulting in a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 1543.59
The remainder is 77 after subtracting 873 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 9:
97 goes into 770 7 times with a remainder of 91.
Use 7 as the next digit of our solution. 
Result so far: 1543.597
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.

Going ahead to step 10:
The number 97 fits into 910 9 times, leaving a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 1543.5979
If we subtract 873 from 910, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
The number 97 fits into 370 3 times, leaving a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 1543.59793
Subtracting 291 from 370 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 12:
790 divided by 97 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1543.597938
If we take 776 away from 790, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
When dividing 140 by 97, we get 1 with a remainder of 43.
The next digit of our result is 1. 
Result so far: 1543.5979381
If we subtract 97 from 140, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 14:
97 can be fit into 430 4 times, resulting in a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 1543.59793814
Subtract 388 from 430 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 1543.59793814, with a leftover of 4.2e-08.