We divide 510824 by 3
We want to divide 510824 by 3.

Moving on to step 1:
3 goes into 5 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 3 from 5 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

Moving on to step 2:
3 goes into 21 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 21 from 21 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Moving on to step 3:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 170.0
Deduct 0 from 0 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

On to step 4:
8 divided by 3 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 1702.0
Deduct 6 from 8 and we're left with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Advancing to step 5:
The number 3 fits into 22 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 17027.0
Subtract 21 from 22 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Moving on to step 6:
If we divide 14 by 3, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 170274.0
Subtracting 12 from 14 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 170274.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 170274.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 170274.66 with a remaining 0.002.