We're dividing 24781 by 13 
We want to divide 24781 by 13.

Let's proceed to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 13

Advancing to step 2:
The number 13 fits into 24 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 13 away from 24, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 13

On to step 3:
117 divided by 13 is 9 with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 117 from 117, we get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 13

Step 4:
When dividing 8 by 13, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 190.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 13

On to step 5:
If we divide 81 by 13, we get 6 and a remainder of 3.
The next digit of our result is 6. 
Result so far: 1906.0
Subtract 78 from 81 to 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.

Let's proceed to step 6:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1906.2
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.

Advancing to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1906.23
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.

On to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1906.23
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.

Let's proceed to step 9:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 1906.2307
If we subtract 91 from 100, we 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.

Let's proceed to step 10:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1906.23076
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.

On to step 11:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1906.230769
Subtract 117 from 120 to 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.

Moving on to step 12:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 1906.2307692
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.

Moving on to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1906.23076923
If we subtract 39 from 40, we 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.

In conclusion, the division gives 1906.23076923 with a balance of 1e-09.