We look at the division of 107806 by 3 
Our goal is to divide 107806 by 3.

On to step 1:
3 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Let's proceed to step 2:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
If we take 9 away from 10, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtract 15 from 17 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

On to step 4:
If we divide 28 by 3, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 359.0
If we subtract 27 from 28, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Step 5:
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: 3593.0
Subtracting 9 from 10 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 6:
The number 3 fits into 16 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 35935.0
Subtracting 15 from 16 leaves us with 1.
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 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 35935.3
Subtract 9 from 10 to 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.

Advancing to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 35935.33
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 result is 35935.33 with a remainder of 0.001.