We look at the division of 578590 by 65 
The aim is to understand the frequency of 65 in 578590.

Let's proceed to step 1:
65 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 65

Let's proceed to step 2:
If we divide 57 by 65, we get 0 and a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Fetch the next digit (8) from the dividend, attach it to 57 and continue: 578 / 65

Moving on to step 3:
578 divided by 65 is 8 with a remainder of 58.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 520 from 578 leaves us with 58.
Fetch the next digit (5) from the dividend, attach it to 58 and continue: 585 / 65

Step 4:
When dividing 585 by 65, we get 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Subtract 585 from 585 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 65

Going ahead to step 5:
65 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 890.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 65

Moving on to step 6:
If we divide 90 by 65, we get 1 and a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 8901.0
Subtracting 65 from 90 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.

Let's proceed to step 7:
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: 8901.3
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
550 divided by 65 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 8901.38
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.

Moving on to step 9:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 8901.384
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.

Going ahead to step 10:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 8901.3846
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.

Step 11:
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: 8901.38461
Subtract 65 from 100 to 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.

Step 12:
If we divide 350 by 65, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8901.384615
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.

On to step 13:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 8901.3846153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 8901.38461538
If we take 520 away from 550, we end up 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.

The final result is 8901.38461538 with a remainder of 3e-08.