338281 ÷ 13 
We want to divide 338281 by 13.

On to step 1:
If we divide 3 by 13, we get 0 and 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.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 13

Let's proceed to step 2:
When dividing 33 by 13, we get 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 26 from 33, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 13

On to step 3:
When dividing 78 by 13, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
Subtract 78 from 78 to get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 13

Moving on to step 4:
When dividing 2 by 13, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 260.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Step 5:
The number 13 fits into 28 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2602.0
If we subtract 26 from 28, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 13

Step 6:
When dividing 21 by 13, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 26021.0
The remainder is 8 after subtracting 13 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 26021.6
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 26021.61
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 26021.615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 26021.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 26021.61538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 26021.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 26021.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 26021.61538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 26021.61538461 and a remainder of 7e-09.