We're dividing 157021 by 11 
The aim is to understand the frequency of 11 in 157021.

Going ahead to step 1:
1 divided by 11 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 11

Let's proceed to step 2:
When dividing 15 by 11, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 11 from 15, we get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 11

Advancing to step 3:
11 goes into 47 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 44 away from 47, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 11

Step 4:
11 goes into 30 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 142.0
Subtracting 22 from 30 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 11

Advancing to step 5:
11 can be fit into 82 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1427.0
If we take 77 away from 82, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 11

Let's proceed to step 6:
The number 11 fits into 51 4 times, leaving a remainder of 7.
The next digit of our result is 4. 
Result so far: 14274.0
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:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 14274.6
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.

Moving on to step 8:
If we divide 40 by 11, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 14274.63
Subtracting 33 from 40 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 9:
11 goes into 70 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 14274.636
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.

Let's proceed to step 10:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 14274.6363
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 11:
11 goes into 70 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 14274.63636
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 12:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 14274.636363
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.

On to step 13:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 14274.6363636
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.

Let's proceed to step 14:
40 divided by 11 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 14274.63636363
If we subtract 33 from 40, we 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.

The final result is 14274.63636363 with a remainder of 7e-09.