We're dividing 31321 by 11 
The aim is to understand the frequency of 11 in 31321.

On to step 1:
The number 11 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 11

Let's proceed to step 2:
11 can be fit into 31 2 times, resulting in a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 22 from 31 leaves us with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 11

Let's proceed to step 3:
When dividing 93 by 11, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we take 88 away from 93, we end up with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 11

Going ahead to step 4:
The number 11 fits into 52 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 284.0
The remainder is 8 after subtracting 44 from 52.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 11

Let's proceed to step 5:
The number 11 fits into 81 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 2847.0
If we take 77 away from 81, 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.

Let's proceed to step 6:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 2847.3
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.

On to step 7:
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: 2847.36
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.

On to step 8:
11 goes into 40 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 2847.363
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.

Let's proceed to step 9:
If we divide 70 by 11, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2847.3636
Subtract 66 from 70 to 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.
The number 3 becomes the next digit in our result. 
Result so far: 2847.36363
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.

Going ahead to step 11:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2847.363636
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.

Advancing to step 12:
11 goes into 40 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 2847.3636363
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.

On to step 13:
When dividing 70 by 11, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2847.36363636
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.

The final result is 2847.36363636 with a remainder of 4e-09.