We're dividing 554309 by 11 
The aim is to understand the frequency of 11 in 554309.

On to step 1:
11 can be fit into 5 0 times, resulting in 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 (5) of the dividend behind the 5 and repeat the process: 55 / 11

Let's proceed to step 2:
When dividing 55 by 11, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 55 from 55, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 11

Advancing to step 3:
11 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

On to step 4:
When dividing 43 by 11, we get 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 503.0
If we take 33 away from 43, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 11

Going ahead to step 5:
If we divide 100 by 11, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 5039.0
Subtract 99 from 100 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 11

Step 6:
11 can be fit into 19 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 50391.0
If we subtract 11 from 19, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
11 goes into 80 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 50391.7
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 50391.72
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
80 divided by 11 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 50391.727
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
If we divide 30 by 11, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 50391.7272
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
80 divided by 11 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 50391.72727
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 50391.727272
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 50391.7272727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 50391.72727272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 50391.72727272 and a remainder of 8e-09.