101444 ÷ 11 
The aim is to understand the frequency of 11 in 101444.

Going ahead to step 1:
11 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 11

Moving on to step 2:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

Let's proceed to step 3:
101 divided by 11 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 2 after subtracting 99 from 101.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 11

Step 4:
The number 11 fits into 24 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 92.0
Subtracting 22 from 24 leaves us with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 11

Let's proceed to step 5:
24 divided by 11 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 922.0
Subtract 22 from 24 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 11

Advancing to step 6:
If we divide 24 by 11, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 9222.0
Subtract 22 from 24 to get 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 7:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9222.1
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
11 goes into 90 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9222.18
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 9:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 9222.181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 9222.1818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
When dividing 20 by 11, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 9222.18181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 9222.181818
Subtracting 88 from 90 leaves us 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 13:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 9222.1818181
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 14:
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: 9222.18181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 9222.18181818 and a remainder of 2e-09.