We look at the division of 433478 by 6 
We want to figure out the number of times 433478 can be divided by 6.

On to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 2:
When dividing 43 by 6, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 1 after subtracting 42 from 43.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 6

On to step 3:
If we divide 13 by 6, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtract 12 from 13 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 6

On to step 4:
If we divide 14 by 6, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 722.0
The remainder is 2 after subtracting 12 from 14.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 6

On to step 5:
27 divided by 6 is 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 7224.0
The remainder is 3 after subtracting 24 from 27.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Going ahead to step 6:
The number 6 fits into 38 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 72246.0
The remainder is 2 after subtracting 36 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
20 divided by 6 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 72246.3
If we subtract 18 from 20, we 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.

Let's proceed to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 72246.33
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.

After the division, we end up with 72246.33 and a remainder of 0.002.