We're dividing 275665 by 27 
We want to divide 275665 by 27.

Let's proceed to step 1:
When dividing 2 by 27, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 27

Step 2:
The number 27 fits into 27 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 27 away from 27, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 27

Moving on to step 3:
27 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 27

Let's proceed to step 4:
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: 102.0
Subtract 54 from 56 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 27

Let's proceed to step 5:
The number 27 fits into 26 0 times, leaving a remainder of 26.
The next digit of our result is 0. 
Result so far: 1020.0
Subtract 0 from 26 to get 26.
Append the next digit (5) from the dividend to 26 and continue with: 265 / 27

Let's proceed to step 6:
When dividing 265 by 27, we get 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 10209.0
If we take 243 away from 265, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 27, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 10209.8
If we subtract 216 from 220, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
27 can be fit into 40 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 10209.81
Deduct 27 from 40 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
27 goes into 130 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 10209.814
Subtracting 108 from 130 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
If we divide 220 by 27, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 10209.8148
The remainder is 4 after subtracting 216 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
When dividing 40 by 27, we get 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 10209.81481
Subtract 27 from 40 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
If we divide 130 by 27, we get 4 and a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 10209.814814
The remainder is 22 after subtracting 108 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
27 can be fit into 220 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 10209.8148148
If we take 216 away from 220, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
27 can be fit into 40 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 10209.81481481
Deduct 27 from 40 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 10209.81481481 with a remainder of 1.3e-08.