We look at the division of 430514 by 3 
Our goal is to divide 430514 by 3.

On to step 1:
4 divided by 3 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 4, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Going ahead to step 2:
3 goes into 13 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 12 from 13, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Going ahead to step 3:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Deduct 9 from 10 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 3

Going ahead to step 4:
When dividing 15 by 3, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1435.0
The remainder is 0 after subtracting 15 from 15.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

On to step 5:
3 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 14350.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Going ahead to step 6:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 143504.0
If we subtract 12 from 14, 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:
20 divided by 3 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 143504.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 3 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 143504.66
Deduct 18 from 20 and we're left with 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 143504.66 with a balance of 0.002.