We look at the division of 430375 by 3 
We're looking to find how many times 3 goes into 430375.

Going ahead to step 1:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 3 from 4 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 2:
When dividing 13 by 3, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 12 away from 13, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Going ahead to step 3:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 143.0
Subtracting 9 from 10 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Advancing to step 4:
The number 3 fits into 13 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 1434.0
Deduct 12 from 13 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Moving on to step 5:
If we divide 17 by 3, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 14345.0
Subtracting 15 from 17 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 3

Let's proceed to step 6:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 143458.0
Subtracting 24 from 25 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 143458.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 143458.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 143458.33 and a remainder of 0.001.