We divide 519413 by 13
We're looking to find how many times 13 goes into 519413.

Advancing to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 13

Going ahead to step 2:
13 goes into 51 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 39 from 51 to get 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 13

Going ahead to step 3:
13 goes into 129 9 times with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 39.0
The remainder is 12 after subtracting 117 from 129.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

On to step 4:
If we divide 124 by 13, we get 9 and a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 399.0
If we take 117 away from 124, we end up with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

On to step 5:
71 divided by 13 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 3995.0
The remainder is 6 after subtracting 65 from 71.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 13

Let's proceed to step 6:
When dividing 63 by 13, we get 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 39954.0
Deduct 52 from 63 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 39954.8
If we take 104 away from 110, we end up 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.

On to step 8:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 39954.84
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 39954.846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 39954.8461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 39954.84615
Deduct 65 from 70 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 12:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 39954.846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 39954.8461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 39954.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 39954.84615384 with a remainder of 8e-09.