We look at the division of 31813 by 65 
The aim is to understand the frequency of 65 in 31813.

Step 1:
3 divided by 65 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 65

On to step 2:
The number 65 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Bring next digit (8) of the dividend behind the 31 and repeat the process: 318 / 65

On to step 3:
65 can be fit into 318 4 times, resulting in a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 260 from 318 leaves us with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 65

Step 4:
The number 65 fits into 581 8 times, leaving a remainder of 61.
The next digit of our result is 8. 
Result so far: 48.0
Subtracting 520 from 581 leaves us with 61.
Fetch the next digit (3) from the dividend, attach it to 61 and continue: 613 / 65

Going ahead to step 5:
When dividing 613 by 65, we get 9 with a remainder of 28.
The next digit of our result is 9. 
Result so far: 489.0
The remainder is 28 after subtracting 585 from 613.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 6:
The number 65 fits into 280 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 489.4
Subtract 260 from 280 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.

On to step 7:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 489.43
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.

On to step 8:
When dividing 50 by 65, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 489.43
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
500 divided by 65 is 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 489.4307
If we take 455 away from 500, we end up 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.

Step 10:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 489.43076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 11:
600 divided by 65 is 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 489.430769
Subtract 585 from 600 to 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.

On to step 12:
If we divide 150 by 65, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 489.4307692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
65 goes into 200 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 489.43076923
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.

After the division, we end up with 489.43076923 and a remainder of 5e-09.