Let's divide 11632 by 27
Our goal is to divide 11632 by 27.

Step 1:
If we divide 1 by 27, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 27

Going ahead to step 2:
27 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 27

Advancing to step 3:
If we divide 116 by 27, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 108 from 116 and we're left with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 27

Let's proceed to step 4:
If we divide 83 by 27, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we take 81 away from 83, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 27

Advancing to step 5:
If we divide 22 by 27, we get 0 and a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 430.0
If we subtract 0 from 22, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 6:
220 divided by 27 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 430.8
Deduct 216 from 220 and we're left 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.

On to step 7:
If we divide 40 by 27, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 430.81
Subtracting 27 from 40 leaves us 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.

Let's proceed to step 8:
If we divide 130 by 27, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 430.814
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.

Let's proceed to step 9:
When dividing 220 by 27, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 430.8148
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.

Moving on to step 10:
40 divided by 27 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 430.81481
If we subtract 27 from 40, we 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.

Advancing to step 11:
27 goes into 130 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 430.814814
Subtract 108 from 130 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
220 divided by 27 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 430.8148148
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.

Step 13:
27 goes into 40 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 430.81481481
Subtracting 27 from 40 leaves us 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.

In conclusion, the division gives 430.81481481 with a balance of 1.3e-08.