We're dividing 512963 by 33 
We want to figure out the number of times 512963 can be divided by 33.

On to step 1:
When dividing 5 by 33, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 33

Advancing to step 2:
33 can be fit into 51 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 33 from 51 to get 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 33

Step 3:
33 can be fit into 182 5 times, resulting in a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 17 after subtracting 165 from 182.
Include the next digit (9) from the dividend after 17, then repeat: 179 / 33

Let's proceed to step 4:
179 divided by 33 is 5 with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 155.0
Subtract 165 from 179 to get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 33

Step 5:
33 can be fit into 146 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 1554.0
Subtract 132 from 146 to get 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 33

Step 6:
The number 33 fits into 143 4 times, leaving a remainder of 11.
The next digit of our result is 4. 
Result so far: 15544.0
Deduct 132 from 143 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
110 divided by 33 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 15544.3
Subtract 99 from 110 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
33 goes into 110 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 15544.33
The remainder is 11 after subtracting 99 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 15544.33, and the remainder is 0.011.