We look at the division of 383281 by 15 
We want to divide 383281 by 15.

Step 1:
3 divided by 15 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 15

Moving on to step 2:
If we divide 38 by 15, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
If we take 30 away from 38, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 15

Advancing to step 3:
15 can be fit into 83 5 times, resulting in a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we subtract 75 from 83, we get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 15

Going ahead to step 4:
82 divided by 15 is 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 255.0
Deduct 75 from 82 and we're left with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 15

Moving on to step 5:
78 divided by 15 is 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 2555.0
If we subtract 75 from 78, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 15

Moving on to step 6:
The number 15 fits into 31 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 25552.0
Subtract 30 from 31 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.

Advancing to step 7:
15 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 25552.0
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 15 fits into 100 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 25552.06
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 25552.066
Subtracting 90 from 100 leaves us 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.

The quotient of the division is 25552.066, and the remainder is 0.001.