We look at the division of 312029 by 13 
We're looking to find how many times 13 goes into 312029.

Moving on to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 13

Advancing to step 2:
When dividing 31 by 13, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 26 from 31 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 13

Going ahead to step 3:
52 divided by 13 is 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 0 after subtracting 52 from 52.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 13

Let's proceed to step 4:
13 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 240.0
If we subtract 0 from 0, we get 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 13

Going ahead to step 5:
If we divide 2 by 13, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 2400.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

Moving on to step 6:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 24002.0
The remainder is 3 after subtracting 26 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 24002.2
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 24002.23
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24002.23
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.

Step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 24002.2307
Subtract 91 from 100 to 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.

Step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 24002.23076
If we take 78 away from 90, we end up with 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 12:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 24002.230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 24002.2307692
Subtracting 26 from 30 leaves us 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 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 24002.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 24002.23076923 with a remainder of 1e-09.