241333 ÷ 13 
Our goal is to divide 241333 by 13.

Step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 13

Going ahead to step 2:
13 goes into 24 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 13 from 24, we get 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 13

Going ahead to step 3:
111 divided by 13 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtract 104 from 111 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Advancing to step 4:
When dividing 73 by 13, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 185.0
Subtracting 65 from 73 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

Step 5:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 1856.0
The remainder is 5 after subtracting 78 from 83.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 13

Going ahead to step 6:
13 can be fit into 53 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 18564.0
Deduct 52 from 53 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.

Advancing to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 18564.0
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.

Moving on to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 18564.07
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 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 18564.076
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.

Step 10:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 18564.0769
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.

Let's proceed to step 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 18564.07692
If we take 26 away from 30, we end up 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 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 18564.076923
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.

Advancing to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 18564.076923
Deduct 0 from 10 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.

Moving on to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 18564.07692307
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.

The final result is 18564.07692307 with a remainder of 9e-09.