We look at the division of 516338 by 30 
We want to divide 516338 by 30.

Step 1:
30 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 30

Advancing to step 2:
30 goes into 51 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 30 away from 51, we end up with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 30

Let's proceed to step 3:
30 goes into 216 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 210 from 216 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 30

Step 4:
30 goes into 63 2 times with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 172.0
Subtract 60 from 63 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 30

Going ahead to step 5:
When dividing 33 by 30, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1721.0
Subtract 30 from 33 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 30

Step 6:
38 divided by 30 is 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 17211.0
Subtract 30 from 38 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
When dividing 80 by 30, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 17211.2
If we take 60 away from 80, 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.

Advancing to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 17211.26
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.

Advancing to step 9:
When dividing 200 by 30, we get 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 17211.266
Subtract 180 from 200 to 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.

After the division, we end up with 17211.266 and a remainder of 0.002.