We divide 306563 by 13
Let's see how many times 13 fits into 306563.

Moving on to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 13

On to step 2:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 4 after subtracting 26 from 30.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Going ahead to step 3:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 23.0
The remainder is 7 after subtracting 39 from 46.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Step 4:
75 divided by 13 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 235.0
If we take 65 away from 75, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 13

Advancing to step 5:
If we divide 106 by 13, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 2358.0
Subtracting 104 from 106 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

On to step 6:
The number 13 fits into 23 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 23581.0
The remainder is 10 after subtracting 13 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 23581.7
Subtracting 91 from 100 leaves us 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.

Moving on to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 23581.76
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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 23581.769
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.

Going ahead to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 23581.7692
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.

Advancing to step 11:
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: 23581.76923
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.

Let's proceed to step 12:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 23581.76923
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.

Going ahead to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 23581.7692307
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 14:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 23581.76923076
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.

In conclusion, the division gives 23581.76923076 with a balance of 1.2e-08.