963335 ÷ 15 
Our goal is to divide 963335 by 15.

Going ahead to step 1:
15 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 15

On to step 2:
15 can be fit into 96 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 90 from 96 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 15

Advancing to step 3:
When dividing 63 by 15, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtracting 60 from 63 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 4:
The number 15 fits into 33 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 642.0
Subtract 30 from 33 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 15

Step 5:
If we divide 33 by 15, we get 2 and a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 6422.0
If we subtract 30 from 33, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 15

Let's proceed to step 6:
The number 15 fits into 35 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 64222.0
Deduct 30 from 35 and we're left with 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 7:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 64222.3
If we subtract 45 from 50, 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.

On to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 64222.33
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 64222.33 and a remainder of 0.005.