511399 ÷ 13 
Our goal is to divide 511399 by 13.

Step 1:
5 divided by 13 is 0 with a remainder of 5.
Write down 0 as next digit of 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.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 39 from 51 to get 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 13

Moving on to step 3:
13 goes into 121 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 39.0
The remainder is 4 after subtracting 117 from 121.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Advancing to step 4:
43 divided by 13 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 393.0
Subtract 39 from 43 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Moving on to step 5:
When dividing 49 by 13, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 3933.0
The remainder is 10 after subtracting 39 from 49.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 13

Moving on to step 6:
13 can be fit into 109 8 times, resulting in a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 39338.0
If we subtract 104 from 109, we get 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 7:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 39338.3
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 8:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 39338.38
Deduct 104 from 110 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.

Step 9:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 39338.384
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.

Let's proceed to step 10:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 39338.3846
Subtracting 78 from 80 leaves us 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.

On to step 11:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 39338.38461
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.

Step 12:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 39338.384615
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.

Moving on to step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 39338.3846153
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.

Moving on to step 14:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 39338.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 39338.38461538 with a remainder of 6e-09.