565122 ÷ 27 
We're looking to find how many times 27 goes into 565122.

Step 1:
When dividing 5 by 27, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 27

On to step 2:
27 can be fit into 56 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 2 after subtracting 54 from 56.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 27

Going ahead to step 3:
When dividing 25 by 27, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 25, we end up with 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 27

Let's proceed to step 4:
251 divided by 27 is 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 209.0
Deduct 243 from 251 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 27

Moving on to step 5:
27 goes into 82 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 2093.0
If we take 81 away from 82, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 27

Advancing to step 6:
27 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 20930.0
Subtract 0 from 12 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
When dividing 120 by 27, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 20930.4
If we subtract 108 from 120, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 27 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 20930.44
The remainder is 12 after subtracting 108 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 20930.44 with a balance of 0.012.