Let's divide 41500761 by 509
The aim is to understand the frequency of 509 in 41500761.

Advancing to step 1:
The number 509 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 509

Step 2:
The number 509 fits into 41 0 times, leaving a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 509

On to step 3:
509 can be fit into 415 0 times, resulting in a remainder of 415.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 415 to get 415.
Bring next digit (0) of the dividend behind the 415 and repeat the process: 4150 / 509

Let's proceed to step 4:
When dividing 4150 by 509, we get 8 with a remainder of 78.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 4072 from 4150 leaves us with 78.
Include the next digit (0) from the dividend after 78, then repeat: 780 / 509

Let's proceed to step 5:
509 can be fit into 780 1 times, resulting in a remainder of 271.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
If we subtract 509 from 780, we get 271.
Include the next digit (7) from the dividend after 271, then repeat: 2717 / 509

Let's proceed to step 6:
When dividing 2717 by 509, we get 5 with a remainder of 172.
The next digit of our result is 5. 
Result so far: 815.0
The remainder is 172 after subtracting 2545 from 2717.
Take the next digit (6) from the dividend and append it to 172, then repeat: 1726 / 509

Moving on to step 7:
If we divide 1726 by 509, we get 3 and a remainder of 199.
The number 3 becomes the next digit in our result. 
Result so far: 8153.0
If we subtract 1527 from 1726, we get 199.
Take the next digit (1) from the dividend and append it to 199, then repeat: 1991 / 509

Going ahead to step 8:
509 goes into 1991 3 times with a remainder of 464.
Record the quotient 3 as the next digit in the result. 
Result so far: 81533.0
Subtract 1527 from 1991 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 9:
If we divide 4640 by 509, we get 9 and a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 81533.9
Subtract 4581 from 4640 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
509 goes into 590 1 times with a remainder of 81.
The next digit of our result is 1. 
Result so far: 81533.91
Deduct 509 from 590 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 11:
509 can be fit into 810 1 times, resulting in a remainder of 301.
Record the quotient 1 as the next digit in the result. 
Result so far: 81533.911
If we take 509 away from 810, we end up with 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

The final result is 81533.911 with a remainder of 0.0301.