We're dividing 11666 by 27 
Our goal is to divide 11666 by 27.

Advancing to step 1:
If we divide 1 by 27, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 27

Moving on to step 2:
11 divided by 27 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 27

Step 3:
27 can be fit into 116 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 8 after subtracting 108 from 116.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 27

Going ahead to step 4:
The number 27 fits into 86 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we subtract 81 from 86, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 27

Let's proceed to step 5:
The number 27 fits into 56 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 432.0
The remainder is 2 after subtracting 54 from 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
20 divided by 27 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 432.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
The number 27 fits into 200 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 432.07
If we take 189 away from 200, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
The number 27 fits into 110 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 432.074
Subtracting 108 from 110 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
The number 27 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 432.074
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
27 can be fit into 200 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 432.07407
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
When dividing 110 by 27, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 432.074074
If we subtract 108 from 110, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
When dividing 20 by 27, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 432.074074
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
The number 27 fits into 200 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 432.07407407
The remainder is 11 after subtracting 189 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 432.07407407 with a remaining 1.1e-08.