We're dividing 100238 by 3 
We're looking to find how many times 3 goes into 100238.

Advancing to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Going ahead to step 2:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 9 from 10 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Step 3:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 33.0
If we subtract 9 from 10, we get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 3

Let's proceed to step 4:
When dividing 12 by 3, we get 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 334.0
Subtract 12 from 12 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 3

Going ahead to step 5:
The number 3 fits into 3 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 3341.0
If we subtract 3 from 3, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 3

Step 6:
The number 3 fits into 8 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 33412.0
Subtract 6 from 8 to 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.

Going ahead to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33412.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 33412.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 33412.66, and the remainder is 0.002.