We look at the division of 314311 by 13 
We want to figure out the number of times 314311 can be divided by 13.

Let's proceed to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 13

Going ahead to step 2:
The number 13 fits into 31 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 26 away from 31, we end up with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

Advancing to step 3:
If we divide 54 by 13, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 24.0
Subtracting 52 from 54 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Going ahead to step 4:
If we divide 23 by 13, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 241.0
If we take 13 away from 23, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 13

Going ahead to step 5:
The number 13 fits into 101 7 times, leaving a remainder of 10.
The next digit of our result is 7. 
Result so far: 2417.0
The remainder is 10 after subtracting 91 from 101.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 13

Let's proceed to step 6:
13 can be fit into 101 7 times, resulting in a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 24177.0
Deduct 91 from 101 and we're left 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.

Let's proceed to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 24177.7
If we take 91 away from 100, 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.

Going ahead to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 24177.76
The remainder is 12 after subtracting 78 from 90.
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 9:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 24177.769
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.

Going ahead to step 10:
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: 24177.7692
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.

Let's proceed to step 11:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 24177.76923
If we take 39 away from 40, we end up 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.

Step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 24177.76923
Subtracting 0 from 10 leaves us 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.

On to step 13:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 24177.7692307
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 14:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 24177.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 24177.76923076, with a leftover of 1.2e-08.