We look at the division of 697559 by 65 
The aim is to understand the frequency of 65 in 697559.

Moving on to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 65

Going ahead to step 2:
When dividing 69 by 65, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 65 away from 69, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 65

Step 3:
65 goes into 47 0 times with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 47 to get 47.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 65

Advancing to step 4:
65 goes into 475 7 times with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 455 from 475 and we're left with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 65

Step 5:
65 can be fit into 205 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 1073.0
If we subtract 195 from 205, we get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 65

Advancing to step 6:
When dividing 109 by 65, we get 1 with a remainder of 44.
Write down 1 as next digit of the result. 
Result so far: 10731.0
Subtracting 65 from 109 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
The number 65 fits into 440 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 10731.6
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
65 goes into 500 7 times with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 10731.67
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 9:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 10731.676
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 10:
When dividing 600 by 65, we get 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 10731.6769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 10731.67692
If we subtract 130 from 150, 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.

Step 12:
65 goes into 200 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 10731.676923
If we take 195 away from 200, we end up 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.

On to step 13:
50 divided by 65 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 10731.676923
Subtract 0 from 50 to 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 14:
When dividing 500 by 65, we get 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 10731.67692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 10731.67692307 with a balance of 4.5e-08.