We're dividing 8221 by 44 
The aim is to understand the frequency of 44 in 8221.

Advancing to step 1:
8 divided by 44 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 44

On to step 2:
If we divide 82 by 44, we get 1 and a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 44 from 82 to get 38.
Append the next digit (2) from the dividend to 38 and continue with: 382 / 44

Let's proceed to step 3:
44 goes into 382 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we take 352 away from 382, we end up with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 44

Step 4:
301 divided by 44 is 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 186.0
If we subtract 264 from 301, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 5:
44 goes into 370 8 times with a remainder of 18.
The next digit of our result is 8. 
Result so far: 186.8
If we subtract 352 from 370, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 6:
The number 44 fits into 180 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 186.84
Subtracting 176 from 180 leaves us 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.

Going ahead to step 7:
44 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 186.84
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 186.8409
Subtracting 396 from 400 leaves us 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 9:
If we divide 40 by 44, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 186.8409
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
400 divided by 44 is 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 186.840909
Subtracting 396 from 400 leaves us 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.

On to step 11:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 186.840909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
44 goes into 400 9 times with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 186.84090909
If we subtract 396 from 400, 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.

Our division results in 186.84090909 with a remaining 4e-09.