We look at the division of 174225 by 27 
The aim is to understand the frequency of 27 in 174225.

Step 1:
27 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 27

On to step 2:
27 goes into 17 0 times with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 27

Let's proceed to step 3:
27 can be fit into 174 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 162 from 174 to get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 27

Moving on to step 4:
27 can be fit into 122 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
The remainder is 14 after subtracting 108 from 122.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 27

Let's proceed to step 5:
27 can be fit into 142 5 times, resulting in a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 645.0
The remainder is 7 after subtracting 135 from 142.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 27

Moving on to step 6:
27 goes into 75 2 times with a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 6452.0
If we subtract 54 from 75, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 27, we get 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 6452.7
The remainder is 21 after subtracting 189 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
27 can be fit into 210 7 times, resulting in a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 6452.77
Deduct 189 from 210 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 6452.77 with a remainder of 0.021.