We divide 319999 by 3
We're looking to find how many times 3 goes into 319999.

Step 1:
The number 3 fits into 3 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

On to step 2:
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: 10.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Let's proceed to step 3:
19 divided by 3 is 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we take 18 away from 19, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Going ahead to step 4:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 1066.0
The remainder is 1 after subtracting 18 from 19.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Moving on to step 5:
When dividing 19 by 3, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 10666.0
If we subtract 18 from 19, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 6:
If we divide 19 by 3, we get 6 and a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 106666.0
If we take 18 away from 19, 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.

Moving on to 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: 106666.3
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:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 106666.33
Deduct 9 from 10 and we're left 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 106666.33 with a remainder of 0.001.