We look at the division of 42566642 by 11 
The aim is to understand the frequency of 11 in 42566642.

Going ahead to step 1:
When dividing 4 by 11, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 11

Step 2:
When dividing 42 by 11, we get 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 33 from 42 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 11

On to step 3:
11 goes into 95 8 times with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
If we subtract 88 from 95, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 11

Moving on to step 4:
76 divided by 11 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 386.0
If we subtract 66 from 76, we get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 11

Going ahead to step 5:
The number 11 fits into 106 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 3869.0
Subtract 99 from 106 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 11

Advancing to step 6:
If we divide 76 by 11, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 38696.0
Subtract 66 from 76 to get 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 11

Moving on to step 7:
When dividing 104 by 11, we get 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 386969.0
The remainder is 5 after subtracting 99 from 104.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 11

Advancing to step 8:
When dividing 52 by 11, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 3869694.0
If we take 44 away from 52, 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.

Step 9:
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: 3869694.7
Deduct 77 from 80 and we're left 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.

Moving on to step 10:
11 goes into 30 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 3869694.72
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.

Advancing to step 11:
11 goes into 80 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 3869694.727
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.

Step 12:
If we divide 30 by 11, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 3869694.7272
Subtracting 22 from 30 leaves us 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.

On to step 13:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3869694.72727
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.

Let's proceed to step 14:
If we divide 30 by 11, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 3869694.727272
Subtract 22 from 30 to 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.

Going ahead to step 15:
If we divide 80 by 11, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 3869694.7272727
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.

Moving on to step 16:
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: 3869694.72727272
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.

The final result is 3869694.72727272 with a remainder of 8e-09.