Let's divide 10705 by 3
We want to divide 10705 by 3.

On to step 1:
1 divided by 3 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 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 2:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 9 from 10, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Going ahead to step 3:
3 can be fit into 17 5 times, resulting in a remainder of 2.
The next digit of our result is 5. 
Result so far: 35.0
Subtracting 15 from 17 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Moving on to step 4:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 356.0
The remainder is 2 after subtracting 18 from 20.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Moving on to step 5:
3 can be fit into 25 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 3568.0
If we subtract 24 from 25, 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.

On to step 6:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3568.3
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.

Step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3568.33
If we take 9 away from 10, we end up 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.

The final result is 3568.33 with a remainder of 0.001.