We divide 514006 by 30
We're looking to find how many times 30 goes into 514006.

Step 1:
30 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 30

Step 2:
If we divide 51 by 30, we get 1 and a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 30 from 51 leaves us with 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 30

On to step 3:
The number 30 fits into 214 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 210 from 214, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 30

Going ahead to step 4:
40 divided by 30 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 171.0
Subtract 30 from 40 to get 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 30

Step 5:
100 divided by 30 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 1713.0
If we take 90 away from 100, we end up with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 30

Step 6:
When dividing 106 by 30, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 17133.0
If we subtract 90 from 106, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 30, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 17133.5
Subtracting 150 from 160 leaves us 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.

Advancing to step 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 17133.53
If we take 90 away from 100, we end up 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.

Step 9:
100 divided by 30 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 17133.533
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 17133.533 with a remaining 0.001.