We look at the division of 812566 by 65 
The aim is to understand the frequency of 65 in 812566.

Going ahead to step 1:
When dividing 8 by 65, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 65

Advancing to step 2:
65 goes into 81 1 times with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 65 from 81 leaves us with 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 65

Advancing to step 3:
If we divide 162 by 65, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 130 from 162 to get 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 65

Let's proceed to step 4:
65 can be fit into 325 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 125.0
Deduct 325 from 325 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 65

Going ahead to step 5:
65 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 1250.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 65

Moving on to step 6:
65 can be fit into 66 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 12501.0
Subtract 65 from 66 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 65 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 12501.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 12501.01
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.

Step 9:
If we divide 350 by 65, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 12501.015
If we subtract 325 from 350, we 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.

Step 10:
250 divided by 65 is 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 12501.0153
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.

Advancing to step 11:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 12501.01538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
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: 12501.015384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
If we divide 400 by 65, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 12501.0153846
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.

Let's proceed to step 14:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 12501.01538461
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.

Our division results in 12501.01538461 with a remaining 3.5e-08.