We divide 433673 by 6
We want to figure out the number of times 433673 can be divided by 6.

Advancing to step 1:
6 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 6

Let's proceed to step 2:
6 can be fit into 43 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 42 from 43 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

Moving on to step 3:
6 can be fit into 13 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we subtract 12 from 13, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Advancing to step 4:
16 divided by 6 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 722.0
Subtracting 12 from 16 leaves us with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 6

Let's proceed to step 5:
6 can be fit into 47 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7227.0
Deduct 42 from 47 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

Moving on to step 6:
The number 6 fits into 53 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 72278.0
The remainder is 5 after subtracting 48 from 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 6, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 72278.8
Deduct 48 from 50 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.

Going ahead to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 72278.83
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.

Step 9:
20 divided by 6 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 72278.833
Subtracting 18 from 20 leaves us 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.

The quotient of the division is 72278.833, and the remainder is 0.0002.