We divide 335824 by 15
We're looking to find how many times 15 goes into 335824.

Step 1:
The number 15 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 15

Moving on to step 2:
15 can be fit into 33 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 30 from 33, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 15

On to step 3:
When dividing 35 by 15, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtract 30 from 35 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 15

On to step 4:
The number 15 fits into 58 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 223.0
If we subtract 45 from 58, we get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 15

On to step 5:
15 goes into 132 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 2238.0
Subtract 120 from 132 to get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 15

Let's proceed to step 6:
When dividing 124 by 15, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 22388.0
Deduct 120 from 124 and we're left 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.

Going ahead to step 7:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 22388.2
The remainder is 10 after subtracting 30 from 40.
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 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: 22388.26
Subtract 90 from 100 to 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.

Moving on to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 22388.266
Deduct 90 from 100 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.

After the division, we end up with 22388.266 and a remainder of 0.001.