289986 ÷ 11 
The aim is to understand the frequency of 11 in 289986.

Going ahead to step 1:
11 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 11

Step 2:
11 can be fit into 28 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 22 away from 28, we end up with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 11

Moving on to step 3:
The number 11 fits into 69 6 times, leaving a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 66 from 69 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 11

Going ahead to step 4:
11 goes into 39 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 263.0
If we take 33 away from 39, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 11

Going ahead to step 5:
The number 11 fits into 68 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 2636.0
Subtract 66 from 68 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 11

Let's proceed to step 6:
11 can be fit into 26 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 26362.0
Deduct 22 from 26 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 7:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 26362.3
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 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 26362.36
If we subtract 66 from 70, we 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.

Advancing to step 9:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 26362.363
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.

Step 10:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 26362.3636
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.

Going ahead to step 11:
40 divided by 11 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 26362.36363
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.

On to step 12:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 26362.363636
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.

Step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 26362.3636363
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.

On to step 14:
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: 26362.36363636
If we subtract 66 from 70, we 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.

After the division, we end up with 26362.36363636 and a remainder of 4e-09.