We look at the division of 583436 by 11 
The aim is to understand the frequency of 11 in 583436.

On to step 1:
If we divide 5 by 11, we get 0 and 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.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 11

Going ahead to step 2:
If we divide 58 by 11, we get 5 and a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 55 away from 58, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 11

Let's proceed to step 3:
The number 11 fits into 33 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Subtracting 33 from 33 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 11

On to step 4:
11 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 530.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

Going ahead to step 5:
11 goes into 43 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 5303.0
If we take 33 away from 43, we end up with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 11

Advancing to step 6:
106 divided by 11 is 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 53039.0
The remainder is 7 after subtracting 99 from 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 53039.6
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 53039.63
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
The number 11 fits into 70 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 53039.636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
If we divide 40 by 11, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 53039.6363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 53039.63636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 53039.636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 53039.6363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 53039.63636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 53039.63636363, with a leftover of 7e-09.