519124 ÷ 13 
Our goal is to divide 519124 by 13.

Step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 13

Advancing to step 2:
13 goes into 51 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 39 from 51, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 13

On to step 3:
13 goes into 129 9 times 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.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 13

Going ahead to step 4:
The number 13 fits into 121 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 399.0
The remainder is 4 after subtracting 117 from 121.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

On to step 5:
If we divide 42 by 13, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3993.0
Deduct 39 from 42 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

Going ahead to step 6:
If we divide 34 by 13, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 39932.0
Subtracting 26 from 34 leaves us with 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 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 39932.6
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.

Step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 39932.61
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 39932.615
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.

Advancing to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 39932.6153
Subtract 39 from 50 to 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 11:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 39932.61538
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.

Advancing to step 12:
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: 39932.615384
The remainder is 8 after subtracting 52 from 60.
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 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 39932.6153846
Deduct 78 from 80 and we're left with 2.
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 14:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 39932.61538461
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.

The final result is 39932.61538461 with a remainder of 7e-09.