511555 ÷ 65 
The aim is to understand the frequency of 65 in 511555.

Let's proceed to step 1:
5 divided by 65 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 65

Advancing to step 2:
The number 65 fits into 51 0 times, leaving a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 65

Moving on to step 3:
65 goes into 511 7 times with a remainder of 56.
The next digit of our result is 7. 
Result so far: 7.0
If we take 455 away from 511, we end up with 56.
Fetch the next digit (5) from the dividend, attach it to 56 and continue: 565 / 65

Step 4:
65 goes into 565 8 times with a remainder of 45.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
The remainder is 45 after subtracting 520 from 565.
Bring next digit (5) of the dividend behind the 45 and repeat the process: 455 / 65

On to step 5:
If we divide 455 by 65, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 787.0
Deduct 455 from 455 and we're left with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 65

Moving on to step 6:
5 divided by 65 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 7870.0
Subtract 0 from 5 to get 5.
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 7:
65 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7870.0
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.

Moving on to step 8:
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: 7870.07
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.

Moving on to step 9:
When dividing 450 by 65, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 7870.076
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.

Let's proceed to step 10:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 7870.0769
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.

Let's proceed to step 11:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 7870.07692
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.

Step 12:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 7870.076923
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.

Let's proceed to step 13:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7870.076923
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 14:
65 goes into 500 7 times with a remainder of 45.
The next digit of our result is 7. 
Result so far: 7870.07692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 7870.07692307 with a remaining 4.5e-08.