We divide 338063 by 30
We want to figure out the number of times 338063 can be divided by 30.

Going ahead to step 1:
When dividing 3 by 30, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 30

Going ahead to step 2:
The number 30 fits into 33 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 30 from 33 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 30

Going ahead to step 3:
The number 30 fits into 38 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 30 from 38 to get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 30

Going ahead to step 4:
30 goes into 80 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtracting 60 from 80 leaves us with 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 30

Going ahead to step 5:
30 can be fit into 206 6 times, resulting in a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 1126.0
Subtracting 180 from 206 leaves us with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 30

On to step 6:
30 goes into 263 8 times with a remainder of 23.
Use 8 as the next digit of our solution. 
Result so far: 11268.0
Deduct 240 from 263 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
230 divided by 30 is 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 11268.7
If we take 210 away from 230, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11268.76
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 30, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11268.766
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 11268.766, and the remainder is 0.002.