We're dividing 30806 by 3 
Let's see how many times 3 fits into 30806.

Step 1:
3 goes into 3 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

On to step 2:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 0, we end up with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

Moving on to step 3:
8 divided by 3 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 102.0
Deduct 6 from 8 and we're left with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 4:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1026.0
Subtract 18 from 20 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Let's proceed to step 5:
26 divided by 3 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 10268.0
Subtract 24 from 26 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 6:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 10268.6
If we subtract 18 from 20, 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 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 10268.66
If we subtract 18 from 20, 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.

After the division, we end up with 10268.66 and a remainder of 0.002.