We look at the division of 509127 by 12 
We want to divide 509127 by 12.

Step 1:
5 divided by 12 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 12

Step 2:
When dividing 50 by 12, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 48 from 50 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 12

Moving on to step 3:
If we divide 29 by 12, we get 2 and a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtracting 24 from 29 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 12

Step 4:
12 goes into 51 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 424.0
Subtract 48 from 51 to get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 12

On to step 5:
The number 12 fits into 32 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4242.0
Subtracting 24 from 32 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 12

Step 6:
12 can be fit into 87 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 42427.0
Deduct 84 from 87 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
The number 12 fits into 30 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 42427.2
Deduct 24 from 30 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 12 fits into 60 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 42427.25
If we take 60 away from 60, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
If we divide 0 by 12, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 42427.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
If we divide 0 by 12, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 42427.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 42427.25 with a balance of 0.0.