We look at the division of 585234 by 3 
We want to figure out the number of times 585234 can be divided by 3.

Going ahead to step 1:
5 divided by 3 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 5 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Moving on to step 2:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 27 from 28, we get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 3

Step 3:
3 goes into 15 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 195.0
Subtracting 15 from 15 leaves us with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Moving on to step 4:
3 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 1950.0
If we subtract 0 from 2, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 3

Advancing to step 5:
When dividing 23 by 3, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 19507.0
Subtracting 21 from 23 leaves us with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Advancing to step 6:
When dividing 24 by 3, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 195078.0
The remainder is 0 after subtracting 24 from 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
0 divided by 3 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 195078.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
If we divide 0 by 3, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 195078.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 195078.0 with a balance of 0.0.