We look at the division of 430312 by 13 
Our goal is to divide 430312 by 13.

On to step 1:
4 divided by 13 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Step 2:
13 can be fit into 43 3 times, resulting in a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 43, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 13

On to step 3:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33.0
The remainder is 1 after subtracting 39 from 40.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

On to step 4:
The number 13 fits into 13 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 331.0
Subtract 13 from 13 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Let's proceed to step 5:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 3310.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

Going ahead to step 6:
12 divided by 13 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 33100.0
The remainder is 12 after subtracting 0 from 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 33100.9
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.

Advancing to step 8:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 33100.92
If we take 26 away from 30, we end up 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 9:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33100.923
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.

Moving on to step 10:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 33100.923
Subtract 0 from 10 to 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 11:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 33100.92307
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.

On to step 12:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 33100.923076
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.

On to step 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 33100.9230769
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.

Step 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 33100.92307692
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.

After the division, we end up with 33100.92307692 and a remainder of 4e-09.