We look at the division of 431258 by 13 
Let's see how many times 13 fits into 431258.

Let's proceed to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
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

Let's proceed to step 2:
When dividing 43 by 13, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 39 from 43 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Let's proceed to step 3:
When dividing 41 by 13, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtracting 39 from 41 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Advancing to step 4:
If we divide 22 by 13, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 331.0
If we take 13 away from 22, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Moving on to step 5:
When dividing 95 by 13, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 3317.0
Deduct 91 from 95 and we're left with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 13

Step 6:
13 goes into 48 3 times with a remainder of 9.
The next digit of our result is 3. 
Result so far: 33173.0
If we take 39 away from 48, we end up 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 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 33173.6
Subtracting 78 from 90 leaves us 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.

Going ahead to step 8:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 33173.69
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
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: 33173.692
Deduct 26 from 30 and we're left 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.

Advancing to step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 33173.6923
Deduct 39 from 40 and we're left 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.

Going ahead to step 11:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 33173.6923
If we take 0 away from 10, we end up with 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 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 33173.692307
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.

On to step 13:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 33173.6923076
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.

Step 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 33173.69230769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 33173.69230769 and a remainder of 3e-09.