We're dividing 476133 by 333 
We want to divide 476133 by 333.

On to step 1:
If we divide 4 by 333, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 333

Advancing to step 2:
333 can be fit into 47 0 times, resulting in a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Bring next digit (6) of the dividend behind the 47 and repeat the process: 476 / 333

Advancing to step 3:
333 can be fit into 476 1 times, resulting in a remainder of 143.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 333 from 476 and we're left with 143.
Take the next digit (1) from the dividend and append it to 143, then repeat: 1431 / 333

Step 4:
333 can be fit into 1431 4 times, resulting in a remainder of 99.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 1332 away from 1431, we end up with 99.
Take the next digit (3) from the dividend and append it to 99, then repeat: 993 / 333

Step 5:
333 goes into 993 2 times with a remainder of 327.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
Subtracting 666 from 993 leaves us with 327.
Bring next digit (3) of the dividend behind the 327 and repeat the process: 3273 / 333

On to step 6:
333 goes into 3273 9 times with a remainder of 276.
The next digit of our result is 9. 
Result so far: 1429.0
Subtract 2997 from 3273 to get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Advancing to step 7:
333 can be fit into 2760 8 times, resulting in a remainder of 96.
Use 8 as the next digit of our solution. 
Result so far: 1429.8
If we subtract 2664 from 2760, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Moving on to step 8:
333 goes into 960 2 times with a remainder of 294.
The next digit of our result is 2. 
Result so far: 1429.82
Subtract 666 from 960 to get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Let's proceed to step 9:
333 goes into 2940 8 times with a remainder of 276.
The next digit of our result is 8. 
Result so far: 1429.828
Subtracting 2664 from 2940 leaves us with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Advancing to step 10:
2760 divided by 333 is 8 with a remainder of 96.
Use 8 as the next digit of our solution. 
Result so far: 1429.8288
Subtracting 2664 from 2760 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

The final result is 1429.8288 with a remainder of 0.00096.