314521 divided by 13 
We want to divide 314521 by 13.

Advancing to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 13

Let's proceed to step 2:
31 divided by 13 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 26 from 31 and we're left with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 13

Going ahead to step 3:
13 goes into 54 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Subtracting 52 from 54 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 13

Let's proceed to step 4:
When dividing 25 by 13, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 241.0
If we take 13 away from 25, we end up with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 13

Going ahead to step 5:
When dividing 122 by 13, we get 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 2419.0
Subtract 117 from 122 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Let's proceed to step 6:
When dividing 51 by 13, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 24193.0
The remainder is 12 after subtracting 39 from 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 24193.9
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.

Step 8:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 24193.92
Subtract 26 from 30 to 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.

On to step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 24193.923
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.

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: 24193.923
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 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 24193.92307
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 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 24193.923076
Subtract 78 from 90 to 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.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 24193.9230769
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.
Record the quotient 2 as the next digit in the result. 
Result so far: 24193.92307692
Subtract 26 from 30 to 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.

The final outcome is 24193.92307692, with a leftover of 4e-09.