876664 ÷ 11 
The aim is to understand the frequency of 11 in 876664.

Advancing to step 1:
The number 11 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 11

Step 2:
When dividing 87 by 11, we get 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 77 from 87, we get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

On to step 3:
If we divide 106 by 11, we get 9 and a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 79.0
If we subtract 99 from 106, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 11

Going ahead to step 4:
11 goes into 76 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 796.0
The remainder is 10 after subtracting 66 from 76.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 11

Moving on to step 5:
If we divide 106 by 11, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 7969.0
The remainder is 7 after subtracting 99 from 106.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 11

Moving on to step 6:
11 can be fit into 74 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 79696.0
If we subtract 66 from 74, 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 7:
When dividing 80 by 11, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 79696.7
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 79696.72
Deduct 22 from 30 and we're left 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.

Let's proceed to step 9:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 79696.727
If we take 77 away from 80, we end up 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:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 79696.7272
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.

On to step 11:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 79696.72727
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:
11 goes into 30 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 79696.727272
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.

Going ahead to step 13:
If we divide 80 by 11, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 79696.7272727
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.

Moving on to step 14:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 79696.72727272
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.

Our division results in 79696.72727272 with a remaining 8e-09.