Let's divide 434224 by 3
We're looking to find how many times 3 goes into 434224.

On to step 1:
4 divided by 3 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 3 from 4, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Going ahead to step 2:
The number 3 fits into 13 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 1 after subtracting 12 from 13.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Going ahead to step 3:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 144.0
If we subtract 12 from 14, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Let's proceed to step 4:
3 goes into 22 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1447.0
The remainder is 1 after subtracting 21 from 22.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Advancing to step 5:
The number 3 fits into 12 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 14474.0
Subtracting 12 from 12 leaves us with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Let's proceed to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 144741.0
Deduct 3 from 4 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.

Let's proceed to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 144741.3
Subtracting 9 from 10 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.

On to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 144741.33
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.

The quotient of the division is 144741.33, and the remainder is 0.001.