We're dividing 108157 by 97 
The aim is to understand the frequency of 97 in 108157.

Step 1:
When dividing 1 by 97, we get 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 (0) from the dividend, add it to 1, then carry on: 10 / 97

Going ahead to step 2:
10 divided by 97 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 97

Moving on to step 3:
97 goes into 108 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 97 from 108 and we're left with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 97

Step 4:
If we divide 111 by 97, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 97 from 111 leaves us with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 97

Moving on to step 5:
97 can be fit into 145 1 times, resulting in a remainder of 48.
Use 1 as the next digit of our solution. 
Result so far: 111.0
If we subtract 97 from 145, we get 48.
Bring next digit (7) of the dividend behind the 48 and repeat the process: 487 / 97

Going ahead to step 6:
97 goes into 487 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 1115.0
Deduct 485 from 487 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 97 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1115.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
97 goes into 200 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1115.02
The remainder is 6 after subtracting 194 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
60 divided by 97 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 1115.02
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
The number 97 fits into 600 6 times, leaving a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 1115.0206
The remainder is 18 after subtracting 582 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
When dividing 180 by 97, we get 1 with a remainder of 83.
Put 1 as the next digit of the answer. 
Result so far: 1115.02061
The remainder is 83 after subtracting 97 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 12:
The number 97 fits into 830 8 times, leaving a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 1115.020618
Subtract 776 from 830 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 13:
97 can be fit into 540 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1115.0206185
Subtracting 485 from 540 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
97 can be fit into 550 5 times, resulting in a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 1115.02061855
If we take 485 away from 550, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

In conclusion, the division gives 1115.02061855 with a balance of 6.5e-08.