We're dividing 319813 by 30 
We want to divide 319813 by 30.

On to step 1:
The number 30 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 30

Advancing to step 2:
The number 30 fits into 31 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 30 from 31 to get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 30

Let's proceed to step 3:
The number 30 fits into 19 0 times, leaving a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 19, we end up with 19.
Bring next digit (8) of the dividend behind the 19 and repeat the process: 198 / 30

Advancing to step 4:
If we divide 198 by 30, we get 6 and a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we take 180 away from 198, we end up with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 30

Advancing to step 5:
The number 30 fits into 181 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 1066.0
The remainder is 1 after subtracting 180 from 181.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 30

On to step 6:
The number 30 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 10660.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
When dividing 130 by 30, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 10660.4
The remainder is 10 after subtracting 120 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
100 divided by 30 is 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 10660.43
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 10660.433
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 10660.433 with a balance of 0.001.