Let's divide 6519 by 27
We're looking to find how many times 27 goes into 6519.

On to step 1:
When dividing 6 by 27, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 27

On to step 2:
65 divided by 27 is 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 54 from 65 and we're left with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 27

On to step 3:
If we divide 111 by 27, we get 4 and a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 24.0
If we subtract 108 from 111, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 27

On to step 4:
27 can be fit into 39 1 times, resulting in a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 241.0
Subtract 27 from 39 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 5:
27 can be fit into 120 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 241.4
If we take 108 away from 120, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 6:
27 can be fit into 120 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 241.44
Subtract 108 from 120 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 241.44 with a balance of 0.012.