We look at the division of 338609 by 27 
We want to divide 338609 by 27.

Advancing to step 1:
When dividing 3 by 27, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 27

On to step 2:
33 divided by 27 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 27 from 33 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 27

Moving on to step 3:
The number 27 fits into 68 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 54 from 68 leaves us with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 27

Step 4:
The number 27 fits into 146 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 125.0
Subtract 135 from 146 to get 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 27

Advancing to step 5:
110 divided by 27 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 1254.0
Subtract 108 from 110 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 27

On to step 6:
If we divide 29 by 27, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 12541.0
The remainder is 2 after subtracting 27 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
27 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12541.0
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.

On to step 8:
When dividing 200 by 27, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 12541.07
Deduct 189 from 200 and we're left 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.

On to step 9:
110 divided by 27 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 12541.074
Subtract 108 from 110 to 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 10:
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: 12541.074
Subtract 0 from 20 to 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 11:
200 divided by 27 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 12541.07407
Subtract 189 from 200 to get 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 12:
27 can be fit into 110 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 12541.074074
If we take 108 away from 110, we end up 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.

Moving on to step 13:
27 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12541.074074
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.

Going ahead to step 14:
27 can be fit into 200 7 times, resulting in a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 12541.07407407
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 12541.07407407 with a remaining 1.1e-08.