We look at the division of 514116 by 27 
Our goal is to divide 514116 by 27.

On to step 1:
5 divided by 27 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 27

Step 2:
27 can be fit into 51 1 times, resulting in a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 27 from 51 and we're left with 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 27

Let's proceed to step 3:
27 can be fit into 244 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 1 after subtracting 243 from 244.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 27

Going ahead to step 4:
If we divide 11 by 27, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 190.0
If we take 0 away from 11, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 27

Let's proceed to step 5:
When dividing 111 by 27, we get 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 1904.0
The remainder is 3 after subtracting 108 from 111.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 27

Step 6:
27 goes into 36 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 19041.0
The remainder is 9 after subtracting 27 from 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
27 goes into 90 3 times with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 19041.3
Subtracting 81 from 90 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
The number 27 fits into 90 3 times, leaving a remainder of 9.
The next digit of our result is 3. 
Result so far: 19041.33
If we take 81 away from 90, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 19041.33, and the remainder is 0.009.