10009 divided by 3 
We want to divide 10009 by 3.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Let's proceed to step 2:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 9 away from 10, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Advancing to step 3:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 9 from 10 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Advancing to step 4:
10 divided by 3 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 333.0
Subtracting 9 from 10 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Moving on to step 5:
3 can be fit into 19 6 times, resulting in a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 3336.0
The remainder is 1 after subtracting 18 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3336.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 3336.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 3336.33, with a leftover of 0.001.