We're dividing 336308 by 63 
Let's see how many times 63 fits into 336308.

Going ahead to step 1:
3 divided by 63 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 63

Moving on to step 2:
If we divide 33 by 63, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 63

On to step 3:
If we divide 336 by 63, we get 5 and a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 315 from 336 leaves us with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 63

Advancing to step 4:
63 can be fit into 213 3 times, resulting in a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Deduct 189 from 213 and we're left with 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 63

Let's proceed to step 5:
63 goes into 240 3 times with a remainder of 51.
The next digit of our result is 3. 
Result so far: 533.0
Subtracting 189 from 240 leaves us with 51.
Fetch the next digit (8) from the dividend, attach it to 51 and continue: 518 / 63

Let's proceed to step 6:
518 divided by 63 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 5338.0
If we take 504 away from 518, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
If we divide 140 by 63, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 5338.2
Deduct 126 from 140 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
If we divide 140 by 63, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 5338.22
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 5338.22 with a remaining 0.014.