257567 divided by 27 
The aim is to understand the frequency of 27 in 257567.

On to step 1:
When dividing 2 by 27, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 27

Step 2:
27 can be fit into 25 0 times, resulting in a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 27

On to step 3:
27 goes into 257 9 times with a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 243 away from 257, we end up with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 27

Going ahead to step 4:
When dividing 145 by 27, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 95.0
Subtract 135 from 145 to get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 27

Moving on to step 5:
106 divided by 27 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 953.0
Subtract 81 from 106 to get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 27

Step 6:
257 divided by 27 is 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 9539.0
Subtract 243 from 257 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 27 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 9539.5
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
27 goes into 50 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 9539.51
The remainder is 23 after subtracting 27 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
230 divided by 27 is 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 9539.518
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
The number 27 fits into 140 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 9539.5185
If we take 135 away from 140, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
50 divided by 27 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 9539.51851
Subtract 27 from 50 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 12:
230 divided by 27 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 9539.518518
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
27 can be fit into 140 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 9539.5185185
If we take 135 away from 140, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
The number 27 fits into 50 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 9539.51851851
If we take 27 away from 50, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 9539.51851851 with a balance of 2.3e-08.