We look at the division of 136107 by 65 
The aim is to understand the frequency of 65 in 136107.

Advancing to step 1:
When dividing 1 by 65, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 65

Moving on to step 2:
The number 65 fits into 13 0 times, leaving a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 65

Moving on to step 3:
The number 65 fits into 136 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 130 from 136 leaves us with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 65

Advancing to step 4:
If we divide 61 by 65, we get 0 and a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtracting 0 from 61 leaves us with 61.
Bring next digit (0) of the dividend behind the 61 and repeat the process: 610 / 65

Let's proceed to step 5:
610 divided by 65 is 9 with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 209.0
The remainder is 25 after subtracting 585 from 610.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 65

Going ahead to step 6:
When dividing 257 by 65, we get 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 2093.0
If we take 195 away from 257, we end up with 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 7:
65 can be fit into 620 9 times, resulting in a remainder of 35.
Use 9 as the next digit of our solution. 
Result so far: 2093.9
The remainder is 35 after subtracting 585 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
350 divided by 65 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2093.95
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
250 divided by 65 is 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 2093.953
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 10:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 2093.9538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 2093.95384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 2093.953846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
When dividing 100 by 65, we get 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 2093.9538461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2093.95384615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 2093.95384615 with a remainder of 2.5e-08.