476403 divided by 33 
We're looking to find how many times 33 goes into 476403.

Advancing to step 1:
If we divide 4 by 33, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 33

Moving on to step 2:
47 divided by 33 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 33 from 47 and we're left with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 33

Moving on to step 3:
If we divide 146 by 33, we get 4 and a remainder of 14.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 14 after subtracting 132 from 146.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 33

Moving on to step 4:
The number 33 fits into 144 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 144.0
Subtracting 132 from 144 leaves us with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 33

Moving on to step 5:
The number 33 fits into 120 3 times, leaving a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 1443.0
Subtracting 99 from 120 leaves us with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 33

Advancing to step 6:
33 can be fit into 213 6 times, resulting in a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 14436.0
Subtract 198 from 213 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
33 goes into 150 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 14436.4
Subtract 132 from 150 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
33 can be fit into 180 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 14436.45
The remainder is 15 after subtracting 165 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
If we divide 150 by 33, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 14436.454
If we take 132 away from 150, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
33 goes into 180 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 14436.4545
Deduct 165 from 180 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
The number 33 fits into 150 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 14436.45454
If we take 132 away from 150, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
The number 33 fits into 180 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 14436.454545
Deduct 165 from 180 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
If we divide 150 by 33, we get 4 and a remainder of 18.
The next digit of our result is 4. 
Result so far: 14436.4545454
The remainder is 18 after subtracting 132 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
33 goes into 180 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 14436.45454545
The remainder is 15 after subtracting 165 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 14436.45454545 with a balance of 1.5e-08.