515908 ÷ 33 
We want to divide 515908 by 33.

Advancing to step 1:
5 divided by 33 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 33

On to step 2:
The number 33 fits into 51 1 times, leaving a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 33 away from 51, we end up with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 33

Advancing to step 3:
The number 33 fits into 185 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 165 from 185, we get 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 33

Let's proceed to step 4:
If we divide 209 by 33, we get 6 and a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Subtracting 198 from 209 leaves us with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 33

Advancing to step 5:
33 goes into 110 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 1563.0
If we subtract 99 from 110, we get 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 33

Step 6:
If we divide 118 by 33, we get 3 and a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 15633.0
The remainder is 19 after subtracting 99 from 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
If we divide 190 by 33, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15633.5
Deduct 165 from 190 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
250 divided by 33 is 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 15633.57
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
33 goes into 190 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 15633.575
If we take 165 away from 190, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
The number 33 fits into 250 7 times, leaving a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 15633.5757
Subtract 231 from 250 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
The number 33 fits into 190 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 15633.57575
Deduct 165 from 190 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 12:
33 can be fit into 250 7 times, resulting in a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 15633.575757
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 13:
190 divided by 33 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 15633.5757575
Deduct 165 from 190 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
The number 33 fits into 250 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 15633.57575757
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 15633.57575757 with a balance of 1.9e-08.