We look at the division of 65567129 by 513 
The aim is to understand the frequency of 513 in 65567129.

Let's proceed to step 1:
6 divided by 513 is 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.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 513

Moving on to step 2:
When dividing 65 by 513, we get 0 with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Bring next digit (5) of the dividend behind the 65 and repeat the process: 655 / 513

Advancing to step 3:
513 goes into 655 1 times with a remainder of 142.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 513 away from 655, we end up with 142.
Include the next digit (6) from the dividend after 142, then repeat: 1426 / 513

Moving on to step 4:
1426 divided by 513 is 2 with a remainder of 400.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 1026 from 1426 leaves us with 400.
Take the next digit (7) from the dividend and append it to 400, then repeat: 4007 / 513

Step 5:
513 goes into 4007 7 times with a remainder of 416.
The next digit of our result is 7. 
Result so far: 127.0
If we subtract 3591 from 4007, we get 416.
Bring next digit (1) of the dividend behind the 416 and repeat the process: 4161 / 513

Let's proceed to step 6:
513 can be fit into 4161 8 times, resulting in a remainder of 57.
Record the quotient 8 as the next digit in the result. 
Result so far: 1278.0
Subtracting 4104 from 4161 leaves us with 57.
Fetch the next digit (2) from the dividend, attach it to 57 and continue: 572 / 513

Step 7:
513 can be fit into 572 1 times, resulting in a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 12781.0
Subtract 513 from 572 to get 59.
Bring next digit (9) of the dividend behind the 59 and repeat the process: 599 / 513

Moving on to step 8:
513 goes into 599 1 times with a remainder of 86.
Put 1 as the next digit of the answer. 
Result so far: 127811.0
If we take 513 away from 599, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 9:
860 divided by 513 is 1 with a remainder of 347.
The number 1 becomes the next digit in our result. 
Result so far: 127811.1
The remainder is 347 after subtracting 513 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Advancing to step 10:
513 goes into 3470 6 times with a remainder of 392.
Write down 6 as next digit of the result. 
Result so far: 127811.16
If we take 3078 away from 3470, we end up with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Going ahead to step 11:
When dividing 3920 by 513, we get 7 with a remainder of 329.
Put 7 as the next digit of the answer. 
Result so far: 127811.167
Subtracting 3591 from 3920 leaves us with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Step 12:
3290 divided by 513 is 6 with a remainder of 212.
The number 6 becomes the next digit in our result. 
Result so far: 127811.1676
Subtract 3078 from 3290 to get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

On to step 13:
513 can be fit into 2120 4 times, resulting in a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 127811.16764
If we take 2052 away from 2120, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 14:
The number 513 fits into 680 1 times, leaving a remainder of 167.
Use 1 as the next digit of our solution. 
Result so far: 127811.167641
If we take 513 away from 680, we end up with 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

Advancing to step 15:
513 goes into 1670 3 times with a remainder of 131.
Record the quotient 3 as the next digit in the result. 
Result so far: 127811.1676413
Deduct 1539 from 1670 and we're left with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

On to step 16:
If we divide 1310 by 513, we get 2 and a remainder of 284.
Put 2 as the next digit of the answer. 
Result so far: 127811.16764132
The remainder is 284 after subtracting 1026 from 1310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

The final outcome is 127811.16764132, with a leftover of 2.84e-07.