433669 ÷ 6 
We want to figure out the number of times 433669 can be divided by 6.

Moving on to step 1:
4 divided by 6 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 6

Let's proceed to step 2:
If we divide 43 by 6, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 42 away from 43, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

Let's proceed to step 3:
When dividing 13 by 6, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 72.0
Deduct 12 from 13 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 4:
6 can be fit into 16 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 722.0
If we subtract 12 from 16, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 6

Moving on to step 5:
6 can be fit into 46 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 7227.0
Subtract 42 from 46 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 6

On to step 6:
The number 6 fits into 49 8 times, leaving a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 72278.0
Subtracting 48 from 49 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.

Advancing to step 7:
6 goes into 10 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 72278.1
If we take 6 away from 10, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 72278.16
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 72278.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 72278.166 with a balance of 0.0004.