Let's divide 430838 by 3
We're looking to find how many times 3 goes into 430838.

Step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Step 2:
The number 3 fits into 13 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 12 from 13, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

Moving on to step 3:
When dividing 10 by 3, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 143.0
The remainder is 1 after subtracting 9 from 10.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 3

Let's proceed to step 4:
The number 3 fits into 18 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 1436.0
If we subtract 18 from 18, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

Going ahead to step 5:
3 goes into 3 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 14361.0
Subtract 3 from 3 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

Step 6:
8 divided by 3 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 143612.0
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.

Let's proceed to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 143612.6
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.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 143612.66
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.

The quotient of the division is 143612.66, and the remainder is 0.002.