Let's divide 102109 by 27
Let's see how many times 27 fits into 102109.

Step 1:
When dividing 1 by 27, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 27

Advancing to step 2:
27 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 27

On to step 3:
If we divide 102 by 27, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 81 from 102, we get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 27

On to step 4:
If we divide 211 by 27, we get 7 and a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Subtracting 189 from 211 leaves us with 22.
Fetch the next digit (0) from the dividend, attach it to 22 and continue: 220 / 27

Moving on to step 5:
If we divide 220 by 27, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 378.0
If we take 216 away from 220, we end up with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 27

Going ahead to step 6:
27 goes into 49 1 times with a remainder of 22.
The next digit of our result is 1. 
Result so far: 3781.0
Deduct 27 from 49 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.

Going ahead to step 7:
If we divide 220 by 27, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3781.8
Subtracting 216 from 220 leaves us 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:
When dividing 40 by 27, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 3781.81
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.

On to step 9:
130 divided by 27 is 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 3781.814
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:
When dividing 220 by 27, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 3781.8148
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.

Step 11:
27 goes into 40 1 times with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 3781.81481
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.

Advancing to step 12:
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: 3781.814814
If we take 108 away from 130, 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.

Let's proceed to step 13:
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: 3781.8148148
Subtract 216 from 220 to 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 14:
When dividing 40 by 27, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 3781.81481481
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.

In conclusion, the division gives 3781.81481481 with a balance of 1.3e-08.