117830 divided by 11 
The aim is to understand the frequency of 11 in 117830.

Moving on to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 11

On to step 2:
The number 11 fits into 11 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 11 from 11, we get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 11

Step 3:
When dividing 7 by 11, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 7, we end up with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 11

Moving on to step 4:
When dividing 78 by 11, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we subtract 77 from 78, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 11

Let's proceed to step 5:
The number 11 fits into 13 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1071.0
The remainder is 2 after subtracting 11 from 13.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 11

On to step 6:
20 divided by 11 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10711.0
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10711.8
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
The number 11 fits into 20 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10711.81
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10711.818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10711.8181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 10711.81818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10711.818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 10711.8181818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
11 goes into 20 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 10711.81818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 10711.81818181 with a remainder of 9e-09.