We divide 350519 by 30
Our goal is to divide 350519 by 30.

Advancing to step 1:
30 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 30

Going ahead to step 2:
30 can be fit into 35 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 30 from 35 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 30

Going ahead to step 3:
When dividing 50 by 30, we get 1 with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 30 from 50, we get 20.
Take the next digit (5) from the dividend and append it to 20, then repeat: 205 / 30

Moving on to step 4:
205 divided by 30 is 6 with a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 116.0
Deduct 180 from 205 and we're left with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 30

Advancing to step 5:
The number 30 fits into 251 8 times, leaving a remainder of 11.
The next digit of our result is 8. 
Result so far: 1168.0
If we subtract 240 from 251, we get 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 30

Moving on to step 6:
The number 30 fits into 119 3 times, leaving a remainder of 29.
The next digit of our result is 3. 
Result so far: 11683.0
Subtracting 90 from 119 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
290 divided by 30 is 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 11683.9
If we subtract 270 from 290, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 11683.96
If we subtract 180 from 200, we get 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 9:
200 divided by 30 is 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 11683.966
Deduct 180 from 200 and we're left 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.

The final result is 11683.966 with a remainder of 0.002.