Let's divide 333278 by 13
We want to figure out the number of times 333278 can be divided by 13.

Moving on to step 1:
13 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

On to step 2:
If we divide 33 by 13, we get 2 and 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 (3) from the dividend after 7, then repeat: 73 / 13

Moving on to step 3:
73 divided by 13 is 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 25.0
The remainder is 8 after subtracting 65 from 73.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Moving on to step 4:
13 can be fit into 82 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 256.0
If we take 78 away from 82, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 13

On to step 5:
If we divide 47 by 13, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 2563.0
Deduct 39 from 47 and we're left with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 13

Moving on to step 6:
13 can be fit into 88 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 25636.0
If we subtract 78 from 88, 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 7:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 25636.7
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
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: 25636.76
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.

Moving on to step 9:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 25636.769
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.

On to step 10:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 25636.7692
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.

Going ahead 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: 25636.76923
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 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 25636.76923
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.

Let's proceed to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 25636.7692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 25636.76923076
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.

The final result is 25636.76923076 with a remainder of 1.2e-08.