We look at the division of 111011 by 97 
The aim is to understand the frequency of 97 in 111011.

Going ahead to step 1:
The number 97 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 97

Let's proceed to step 2:
11 divided by 97 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 97

On to step 3:
97 goes into 111 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 97 from 111, we get 14.
Grab the next digit (0) from the dividend, add it to 14, then carry on: 140 / 97

On to step 4:
When dividing 140 by 97, we get 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 97 from 140 leaves us with 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 97

Step 5:
97 can be fit into 431 4 times, resulting in a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
Subtracting 388 from 431 leaves us with 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 97

Step 6:
If we divide 431 by 97, we get 4 and a remainder of 43.
The number 4 becomes the next digit in our result. 
Result so far: 1144.0
Deduct 388 from 431 and we're left 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.

Step 7:
The number 97 fits into 430 4 times, leaving a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 1144.4
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 8:
If we divide 420 by 97, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 1144.44
Deduct 388 from 420 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1144.44 and a remainder of 0.032.