Let's divide 10338 by 72
We're looking to find how many times 72 goes into 10338.

On to step 1:
The number 72 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 72

Advancing to step 2:
72 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 72

On to step 3:
The number 72 fits into 103 1 times, leaving a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 72 from 103 to get 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 72

Going ahead to step 4:
72 can be fit into 313 4 times, resulting in a remainder of 25.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 25 after subtracting 288 from 313.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 72

Going ahead to step 5:
72 goes into 258 3 times with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 143.0
Subtracting 216 from 258 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
72 goes into 420 5 times with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 143.5
Subtract 360 from 420 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 7:
72 goes into 600 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 143.58
Deduct 576 from 600 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
240 divided by 72 is 3 with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.583
Deduct 216 from 240 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
240 divided by 72 is 3 with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.5833
Deduct 216 from 240 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 143.5833 and a remainder of 0.00024.