114884 divided by 11 
The aim is to understand the frequency of 11 in 114884.

Let's proceed to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 11

Moving on to step 2:
When dividing 11 by 11, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 11 from 11.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 11

Advancing to step 3:
4 divided by 11 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 11

Going ahead to step 4:
If we divide 48 by 11, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtracting 44 from 48 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 11

On to step 5:
The number 11 fits into 48 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1044.0
If we subtract 44 from 48, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 11

Advancing to step 6:
11 can be fit into 44 4 times, resulting in a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 10444.0
Deduct 44 from 44 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
When dividing 0 by 11, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10444.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10444.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 10444.0 with a remainder of 0.0.