289791 ÷ 11 
The aim is to understand the frequency of 11 in 289791.

Step 1:
The number 11 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 11

On to step 2:
28 divided by 11 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 22 from 28 to get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 11

Advancing to step 3:
The number 11 fits into 69 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we take 66 away from 69, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 11

Going ahead to step 4:
11 can be fit into 37 3 times, resulting in a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 263.0
Subtract 33 from 37 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 11

Advancing to step 5:
When dividing 49 by 11, we get 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 2634.0
If we subtract 44 from 49, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 11

Moving on to step 6:
11 can be fit into 51 4 times, resulting in a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 26344.0
Subtracting 44 from 51 leaves us 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.

Step 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 26344.6
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 26344.63
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.

Going ahead to step 9:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 26344.636
If we take 66 away from 70, we end up 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.

Going ahead to step 10:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 26344.6363
Deduct 33 from 40 and we're left 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.
Record the quotient 6 as the next digit in the result. 
Result so far: 26344.63636
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.

Let's proceed to step 12:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 26344.636363
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.

Going ahead to step 13:
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: 26344.6363636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
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: 26344.63636363
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.

In conclusion, the division gives 26344.63636363 with a balance of 7e-09.