55361131 divided by 509 
The aim is to understand the frequency of 509 in 55361131.

Step 1:
The number 509 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 509

On to step 2:
55 divided by 509 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 509

Going ahead to step 3:
509 goes into 553 1 times with a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 509 from 553 to get 44.
Append the next digit (6) from the dividend to 44 and continue with: 446 / 509

Step 4:
The number 509 fits into 446 0 times, leaving a remainder of 446.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 446 to get 446.
Append the next digit (1) from the dividend to 446 and continue with: 4461 / 509

Advancing to step 5:
4461 divided by 509 is 8 with a remainder of 389.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtract 4072 from 4461 to get 389.
Include the next digit (1) from the dividend after 389, then repeat: 3891 / 509

Let's proceed to step 6:
If we divide 3891 by 509, we get 7 and a remainder of 328.
Put 7 as the next digit of the answer. 
Result so far: 1087.0
If we take 3563 away from 3891, we end up with 328.
Append the next digit (3) from the dividend to 328 and continue with: 3283 / 509

Going ahead to step 7:
If we divide 3283 by 509, we get 6 and a remainder of 229.
Record the quotient 6 as the next digit in the result. 
Result so far: 10876.0
If we take 3054 away from 3283, we end up with 229.
Append the next digit (1) from the dividend to 229 and continue with: 2291 / 509

Going ahead to step 8:
If we divide 2291 by 509, we get 4 and a remainder of 255.
Put 4 as the next digit of the answer. 
Result so far: 108764.0
If we subtract 2036 from 2291, we get 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Going ahead to step 9:
509 goes into 2550 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 108764.5
Subtract 2545 from 2550 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.

Advancing to step 10:
50 divided by 509 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 108764.5
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 11:
509 can be fit into 500 0 times, resulting in a remainder of 500.
Record the quotient 0 as the next digit in the result. 
Result so far: 108764.5
If we subtract 0 from 500, we get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

After the division, we end up with 108764.5 and a remainder of 0.05.