We're dividing 33564 by 27 
The aim is to understand the frequency of 27 in 33564.

Let's proceed to step 1:
The number 27 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 27

Moving on to step 2:
27 can be fit into 33 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 27 from 33 to get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 27

On to step 3:
When dividing 65 by 27, we get 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 54 from 65, we get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 27

Advancing to step 4:
27 can be fit into 116 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 124.0
If we subtract 108 from 116, we get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 27

Moving on to step 5:
84 divided by 27 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 1243.0
If we take 81 away from 84, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
The number 27 fits into 30 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1243.1
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 27 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1243.11
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 1243.11, and the remainder is 0.003.