We're dividing 582679 by 11 
The aim is to understand the frequency of 11 in 582679.

Moving on to step 1:
When dividing 5 by 11, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 11

Going ahead to step 2:
If we divide 58 by 11, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 55 from 58 and we're left with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 11

On to step 3:
11 can be fit into 32 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we subtract 22 from 32, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 11

Let's proceed to step 4:
11 goes into 106 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 529.0
If we subtract 99 from 106, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 11

On to step 5:
77 divided by 11 is 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 5297.0
Deduct 77 from 77 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 11

On to step 6:
9 divided by 11 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 52970.0
Subtract 0 from 9 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
11 goes into 90 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 52970.8
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 11 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 52970.81
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 52970.818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 11, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 52970.8181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 52970.81818
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 52970.818181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 52970.8181818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 52970.81818181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 52970.81818181 with a remainder of 9e-09.