We look at the division of 497798 by 65 
The aim is to understand the frequency of 65 in 497798.

Moving on to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 65

On to step 2:
49 divided by 65 is 0 with a remainder of 49.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 49 to get 49.
Take the next digit (7) from the dividend and append it to 49, then repeat: 497 / 65

Advancing to step 3:
65 can be fit into 497 7 times, resulting in a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 455 from 497, we get 42.
Take the next digit (7) from the dividend and append it to 42, then repeat: 427 / 65

Moving on to step 4:
427 divided by 65 is 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 37 after subtracting 390 from 427.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 65

Step 5:
When dividing 379 by 65, we get 5 with a remainder of 54.
The next digit of our result is 5. 
Result so far: 765.0
Subtracting 325 from 379 leaves us with 54.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 65

Step 6:
65 goes into 548 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 7658.0
If we subtract 520 from 548, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
280 divided by 65 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 7658.4
If we subtract 260 from 280, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 7658.43
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
65 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 7658.43
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
When dividing 500 by 65, we get 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 7658.4307
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 7658.43076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
65 goes into 600 9 times with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 7658.430769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
65 goes into 150 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 7658.4307692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 7658.43076923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 7658.43076923 with a remainder of 5e-09.