We're dividing 82633 by 27 
Our goal is to divide 82633 by 27.

Step 1:
27 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 27

On to step 2:
27 goes into 82 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 81 from 82 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 27

Step 3:
27 goes into 16 0 times with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 30.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 27

Advancing to step 4:
27 goes into 163 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 306.0
Subtracting 162 from 163 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 27

Advancing to step 5:
When dividing 13 by 27, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 3060.0
If we subtract 0 from 13, 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.

On to step 6:
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: 3060.4
Deduct 108 from 130 and we're left 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 7:
220 divided by 27 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3060.48
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.

Advancing to step 8:
The number 27 fits into 40 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 3060.481
The remainder is 13 after subtracting 27 from 40.
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 9:
If we divide 130 by 27, we get 4 and a remainder of 22.
The next digit of our result is 4. 
Result so far: 3060.4814
If we subtract 108 from 130, 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.

Moving on to step 10:
If we divide 220 by 27, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 3060.48148
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.

Going ahead to step 11:
40 divided by 27 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 3060.481481
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.

Going ahead to step 12:
27 can be fit into 130 4 times, resulting in a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 3060.4814814
Deduct 108 from 130 and we're left 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.

On to step 13:
The number 27 fits into 220 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3060.48148148
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.

In conclusion, the division gives 3060.48148148 with a balance of 4e-09.