We're dividing 519180 by 13 
We want to figure out the number of times 519180 can be divided by 13.

Let's proceed to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

On to step 2:
When dividing 51 by 13, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 39 from 51 to get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 13

Let's proceed to step 3:
129 divided by 13 is 9 with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
If we take 117 away from 129, we end up with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 13

Advancing to step 4:
13 can be fit into 121 9 times, resulting in a remainder of 4.
The next digit of our result is 9. 
Result so far: 399.0
If we subtract 117 from 121, we get 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 13

On to step 5:
13 goes into 48 3 times with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3993.0
If we take 39 away from 48, we end up with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 13

On to step 6:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 39936.0
Subtract 78 from 90 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.

Going ahead to step 7:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 39936.9
Deduct 117 from 120 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.

Going ahead to step 8:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 39936.92
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 39936.923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39936.923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 39936.92307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 39936.923076
Subtract 78 from 90 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.

Advancing to step 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 39936.9230769
If we take 117 away from 120, we end up 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.

Advancing to step 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 39936.92307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 39936.92307692 with a balance of 4e-09.