We're dividing 519334 by 13 
We want to figure out the number of times 519334 can be divided by 13.

Let's proceed to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 13

Let's proceed to step 2:
If we divide 51 by 13, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
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

Step 3:
The number 13 fits into 129 9 times, leaving a remainder of 12.
The next digit of our result is 9. 
Result so far: 39.0
Subtracting 117 from 129 leaves us with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 13

Going ahead to step 4:
13 goes into 123 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 399.0
If we take 117 away from 123, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

Moving on to step 5:
The number 13 fits into 63 4 times, leaving a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 3994.0
If we subtract 52 from 63, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Advancing to step 6:
If we divide 114 by 13, we get 8 and a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 39948.0
If we subtract 104 from 114, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 39948.7
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 39948.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 39948.769
The remainder is 3 after subtracting 117 from 120.
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 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 39948.7692
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.

Step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 39948.76923
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.

Let's proceed to step 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 39948.76923
If we subtract 0 from 10, we get 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 13:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 39948.7692307
Deduct 91 from 100 and we're left 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.

Advancing to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 39948.76923076
If we subtract 78 from 90, we 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.

The final result is 39948.76923076 with a remainder of 1.2e-08.