We look at the division of 6314 by 27 
Our goal is to divide 6314 by 27.

Moving on to step 1:
27 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 27

On to step 2:
63 divided by 27 is 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 54 from 63, we get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 27

Step 3:
27 can be fit into 91 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 23.0
Deduct 81 from 91 and we're left with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 27

On to step 4:
104 divided by 27 is 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 233.0
If we take 81 away from 104, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 5:
If we divide 230 by 27, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 233.8
Subtracting 216 from 230 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
When dividing 140 by 27, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 233.85
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 27, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 233.851
Deduct 27 from 50 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
27 goes into 230 8 times with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 233.8518
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
When dividing 140 by 27, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 233.85185
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
The number 27 fits into 50 1 times, leaving a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 233.851851
Subtract 27 from 50 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
The number 27 fits into 230 8 times, leaving a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 233.8518518
Deduct 216 from 230 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
140 divided by 27 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 233.85185185
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 233.85185185 with a remaining 5e-09.