515593 divided by 11 
The aim is to understand the frequency of 11 in 515593.

Let's proceed to step 1:
The number 11 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Let's proceed to step 2:
When dividing 51 by 11, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 44 from 51, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 11

Let's proceed to step 3:
75 divided by 11 is 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we take 66 away from 75, we end up with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 11

Advancing to step 4:
When dividing 95 by 11, we get 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 468.0
The remainder is 7 after subtracting 88 from 95.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 11

Step 5:
The number 11 fits into 79 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 4687.0
The remainder is 2 after subtracting 77 from 79.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 11

Advancing to step 6:
The number 11 fits into 23 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 46872.0
The remainder is 1 after subtracting 22 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 46872.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 46872.09
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 46872.09
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 46872.0909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 46872.0909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 46872.090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 46872.090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 46872.09090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 46872.09090909 with a remaining 1e-09.