We divide 514268 by 3
We're looking to find how many times 3 goes into 514268.

Moving on to step 1:
5 divided by 3 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 3 from 5 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

On to step 2:
If we divide 21 by 3, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we subtract 21 from 21, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Moving on to step 3:
If we divide 4 by 3, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 171.0
Subtract 3 from 4 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 3

Let's proceed to step 4:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 1714.0
Deduct 12 from 12 and we're left with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

On to step 5:
6 divided by 3 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 17142.0
Subtracting 6 from 6 leaves us with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

Step 6:
If we divide 8 by 3, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 171422.0
If we subtract 6 from 8, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 171422.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 171422.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 171422.66 with a balance of 0.002.