We're dividing 330338 by 48 
We're looking to find how many times 48 goes into 330338.

Moving on to step 1:
If we divide 3 by 48, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 48

On to step 2:
When dividing 33 by 48, we get 0 with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 48

Let's proceed to step 3:
330 divided by 48 is 6 with a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 288 from 330, we get 42.
Include the next digit (3) from the dividend after 42, then repeat: 423 / 48

Moving on to step 4:
48 can be fit into 423 8 times, resulting in a remainder of 39.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtracting 384 from 423 leaves us with 39.
Take the next digit (3) from the dividend and append it to 39, then repeat: 393 / 48

Moving on to step 5:
When dividing 393 by 48, we get 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 688.0
If we subtract 384 from 393, we get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 48

Let's proceed to step 6:
If we divide 98 by 48, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 6882.0
If we subtract 96 from 98, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 48 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 6882.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 48 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6882.04
If we subtract 192 from 200, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
When dividing 80 by 48, we get 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 6882.041
Subtract 48 from 80 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
48 can be fit into 320 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 6882.0416
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
The number 48 fits into 320 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 6882.04166
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 6882.04166, with a leftover of 3.2e-05.