We look at the division of 436567 by 65 
The aim is to understand the frequency of 65 in 436567.

Step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

Step 2:
65 can be fit into 43 0 times, resulting in a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 65

Step 3:
65 can be fit into 436 6 times, resulting in a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 46 after subtracting 390 from 436.
Fetch the next digit (5) from the dividend, attach it to 46 and continue: 465 / 65

Let's proceed to step 4:
If we divide 465 by 65, we get 7 and a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
Subtract 455 from 465 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 65

Going ahead to step 5:
The number 65 fits into 106 1 times, leaving a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
If we take 65 away from 106, we end up with 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 65

Moving on to step 6:
If we divide 417 by 65, we get 6 and a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 6716.0
If we subtract 390 from 417, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
270 divided by 65 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 6716.4
If we take 260 away from 270, 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.

Moving on to step 8:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 6716.41
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
65 goes into 350 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6716.415
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.

Moving on to step 10:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 6716.4153
The remainder is 55 after subtracting 195 from 250.
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 11:
65 goes into 550 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 6716.41538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6716.415384
If we subtract 260 from 300, we 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.

Step 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6716.4153846
Deduct 390 from 400 and we're left 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.

Let's proceed to step 14:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 6716.41538461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 6716.41538461, with a leftover of 3.5e-08.