476574 divided by 33 
We're looking to find how many times 33 goes into 476574.

Let's proceed to step 1:
If we divide 4 by 33, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 33

Step 2:
If we divide 47 by 33, we get 1 and a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 33 away from 47, we end up with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 33

Advancing to step 3:
146 divided by 33 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 132 from 146 and we're left with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 33

Let's proceed to step 4:
The number 33 fits into 145 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 144.0
If we take 132 away from 145, we end up with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 33

Step 5:
If we divide 137 by 33, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 1444.0
If we subtract 132 from 137, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 33

Let's proceed to step 6:
33 can be fit into 54 1 times, resulting in a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 14441.0
Subtracting 33 from 54 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
When dividing 210 by 33, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 14441.6
The remainder is 12 after subtracting 198 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
120 divided by 33 is 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 14441.63
Subtract 99 from 120 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
33 goes into 210 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 14441.636
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
33 can be fit into 120 3 times, resulting in a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 14441.6363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 11:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 14441.63636
If we subtract 198 from 210, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
When dividing 120 by 33, we get 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 14441.636363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 13:
33 can be fit into 210 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 14441.6363636
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
When dividing 120 by 33, we get 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 14441.63636363
The remainder is 21 after subtracting 99 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 14441.63636363 and a remainder of 2.1e-08.