We look at the division of 965565 by 27 
Let's see how many times 27 fits into 965565.

Advancing to step 1:
27 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 27

Going ahead to step 2:
96 divided by 27 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 81 from 96 and we're left with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 27

Let's proceed to step 3:
The number 27 fits into 155 5 times, leaving a remainder of 20.
The next digit of our result is 5. 
Result so far: 35.0
Subtract 135 from 155 to get 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 27

On to step 4:
27 can be fit into 205 7 times, resulting in a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 357.0
If we take 189 away from 205, we end up with 16.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 27

Moving on to step 5:
When dividing 166 by 27, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3576.0
The remainder is 4 after subtracting 162 from 166.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 27

On to step 6:
When dividing 45 by 27, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 35761.0
If we subtract 27 from 45, 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.

On to step 7:
27 can be fit into 180 6 times, resulting in a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 35761.6
Subtracting 162 from 180 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
27 goes into 180 6 times with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 35761.66
Subtract 162 from 180 to 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.

After the division, we end up with 35761.66 and a remainder of 0.018.