We're dividing 433766 by 9 
Let's see how many times 9 fits into 433766.

On to step 1:
9 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 9

Step 2:
9 can be fit into 43 4 times, resulting in a remainder of 7.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 36 from 43 to get 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 9

Let's proceed to step 3:
9 goes into 73 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 72 from 73 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Let's proceed to step 4:
9 goes into 17 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 481.0
Deduct 9 from 17 and we're left with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 9

On to step 5:
9 can be fit into 86 9 times, resulting in a remainder of 5.
The next digit of our result is 9. 
Result so far: 4819.0
If we take 81 away from 86, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 9

On to step 6:
56 divided by 9 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 48196.0
If we take 54 away from 56, we end up 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 7:
20 divided by 9 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 48196.2
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.

Advancing to step 8:
The number 9 fits into 20 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 48196.22
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.

In conclusion, the division gives 48196.22 with a balance of 0.002.