We're dividing 476186 by 33 
We're looking to find how many times 33 goes into 476186.

Let's proceed to step 1:
33 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 33

Step 2:
When dividing 47 by 33, we get 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.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 33

Going ahead to step 3:
The number 33 fits into 146 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 132 from 146 and we're left with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 33

Advancing to step 4:
When dividing 141 by 33, we get 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 144.0
Subtract 132 from 141 to get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 33

On to step 5:
The number 33 fits into 98 2 times, leaving a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 1442.0
Subtract 66 from 98 to get 32.
Include the next digit (6) from the dividend after 32, then repeat: 326 / 33

Advancing to step 6:
When dividing 326 by 33, we get 9 with a remainder of 29.
The next digit of our result is 9. 
Result so far: 14429.0
Subtracting 297 from 326 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
The number 33 fits into 290 8 times, leaving a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 14429.8
Subtracting 264 from 290 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
The number 33 fits into 260 7 times, leaving a remainder of 29.
The next digit of our result is 7. 
Result so far: 14429.87
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
When dividing 290 by 33, we get 8 with a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 14429.878
If we subtract 264 from 290, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 10:
33 can be fit into 260 7 times, resulting in a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 14429.8787
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
When dividing 290 by 33, we get 8 with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 14429.87878
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
When dividing 260 by 33, we get 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 14429.878787
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
290 divided by 33 is 8 with a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 14429.8787878
If we subtract 264 from 290, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
33 goes into 260 7 times with a remainder of 29.
The next digit of our result is 7. 
Result so far: 14429.87878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 14429.87878787 with a balance of 2.9e-08.