We look at the division of 431829 by 6 
We're looking to find how many times 6 goes into 431829.

Advancing to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 6

Advancing to step 2:
The number 6 fits into 43 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 1 after subtracting 42 from 43.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 6

On to step 3:
If we divide 11 by 6, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Deduct 6 from 11 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 6

Going ahead to step 4:
When dividing 58 by 6, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 719.0
If we take 54 away from 58, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 6

Moving on to step 5:
42 divided by 6 is 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7197.0
Subtracting 42 from 42 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Step 6:
The number 6 fits into 9 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 71971.0
If we subtract 6 from 9, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 6 fits into 30 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 71971.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 71971.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 6, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 71971.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 71971.5 with a balance of 0.0.