We're dividing 309116 by 30 
We want to divide 309116 by 30.

On to step 1:
3 divided by 30 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 30

Advancing to step 2:
When dividing 30 by 30, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 30 from 30, we get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 30

Let's proceed to step 3:
When dividing 9 by 30, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 30

Moving on to step 4:
30 goes into 91 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 103.0
If we take 90 away from 91, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 30

Step 5:
If we divide 11 by 30, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 1030.0
Deduct 0 from 11 and we're left with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 30

Moving on to step 6:
If we divide 116 by 30, we get 3 and a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 10303.0
If we take 90 away from 116, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
260 divided by 30 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 10303.8
Subtracting 240 from 260 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 10303.86
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
If we divide 200 by 30, we get 6 and a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 10303.866
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 10303.866 with a balance of 0.002.