135912 divided by 97 
The aim is to understand the frequency of 97 in 135912.

Let's proceed to step 1:
97 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 97

Let's proceed to step 2:
97 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 97

Step 3:
97 goes into 135 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 97 from 135, we get 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 97

Let's proceed to step 4:
389 divided by 97 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 388 from 389 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 97

Advancing to step 5:
97 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 140.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 97

Let's proceed to step 6:
97 goes into 112 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1401.0
The remainder is 15 after subtracting 97 from 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 97 is 1 with a remainder of 53.
The next digit of our result is 1. 
Result so far: 1401.1
Deduct 97 from 150 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 8:
The number 97 fits into 530 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1401.15
If we subtract 485 from 530, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 9:
97 goes into 450 4 times with a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 1401.154
Subtract 388 from 450 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
If we divide 620 by 97, we get 6 and a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 1401.1546
If we subtract 582 from 620, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 11:
The number 97 fits into 380 3 times, leaving a remainder of 89.
Use 3 as the next digit of our solution. 
Result so far: 1401.15463
If we subtract 291 from 380, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Moving on to step 12:
When dividing 890 by 97, we get 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 1401.154639
Subtract 873 from 890 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 13:
If we divide 170 by 97, we get 1 and a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 1401.1546391
Deduct 97 from 170 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 14:
97 goes into 730 7 times with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 1401.15463917
The remainder is 51 after subtracting 679 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 1401.15463917 with a remaining 5.1e-08.