We divide 10122 by 97
The aim is to understand the frequency of 97 in 10122.

Step 1:
1 divided by 97 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 97

Moving on to step 2:
When dividing 10 by 97, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 97

Advancing to step 3:
101 divided by 97 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 97 from 101 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 97

On to step 4:
When dividing 42 by 97, we get 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 42 to get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 97

Step 5:
422 divided by 97 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
Subtract 388 from 422 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 6:
97 can be fit into 340 3 times, resulting in a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 104.3
If we take 291 away from 340, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
If we divide 490 by 97, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 104.35
If we subtract 485 from 490, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 97 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 104.35
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
97 goes into 500 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 104.3505
Subtract 485 from 500 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
The number 97 fits into 150 1 times, leaving a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 104.35051
If we subtract 97 from 150, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 11:
When dividing 530 by 97, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 104.350515
Subtracting 485 from 530 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 12:
450 divided by 97 is 4 with a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.3505154
The remainder is 62 after subtracting 388 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 13:
97 can be fit into 620 6 times, resulting in a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 104.35051546
Deduct 582 from 620 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 104.35051546 with a remaining 3.8e-08.