We're dividing 509965 by 33 
We want to divide 509965 by 33.

Let's proceed to step 1:
33 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 33

Advancing to step 2:
33 goes into 50 1 times with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 33 from 50, we get 17.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 33

Step 3:
33 goes into 179 5 times with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 14 after subtracting 165 from 179.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 33

On to step 4:
The number 33 fits into 149 4 times, leaving a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 154.0
Subtracting 132 from 149 leaves us with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 33

On to step 5:
If we divide 176 by 33, we get 5 and a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 1545.0
Subtracting 165 from 176 leaves us with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 33

Let's proceed to step 6:
When dividing 115 by 33, we get 3 with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 15453.0
If we subtract 99 from 115, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
33 can be fit into 160 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 15453.4
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
If we divide 280 by 33, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 15453.48
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
160 divided by 33 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 15453.484
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 33 is 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 15453.4848
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
33 goes into 160 4 times with a remainder of 28.
The next digit of our result is 4. 
Result so far: 15453.48484
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
280 divided by 33 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 15453.484848
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
If we divide 160 by 33, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 15453.4848484
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 14:
When dividing 280 by 33, we get 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 15453.48484848
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 15453.48484848 with a remainder of 1.6e-08.