429334 ÷ 3 
We want to figure out the number of times 429334 can be divided by 3.

Advancing to step 1:
If we divide 4 by 3, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 3 from 4.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

On to step 2:
When dividing 12 by 3, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 0 after subtracting 12 from 12.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 3

On to step 3:
When dividing 9 by 3, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 143.0
If we subtract 9 from 9, we get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Let's proceed to step 4:
3 divided by 3 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1431.0
If we take 3 away from 3, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 3

Advancing to step 5:
When dividing 3 by 3, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 14311.0
The remainder is 0 after subtracting 3 from 3.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 3

Advancing to step 6:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 143111.0
The remainder is 1 after subtracting 3 from 4.
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:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 143111.3
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.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 143111.33
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.

The quotient of the division is 143111.33, and the remainder is 0.001.