We're dividing 585387 by 909 
We're looking to find how many times 909 goes into 585387.

Step 1:
If we divide 5 by 909, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 909

On to step 2:
If we divide 58 by 909, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Include the next digit (5) from the dividend after 58, then repeat: 585 / 909

On to step 3:
The number 909 fits into 585 0 times, leaving a remainder of 585.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 585 and we're left with 585.
Take the next digit (3) from the dividend and append it to 585, then repeat: 5853 / 909

Step 4:
5853 divided by 909 is 6 with a remainder of 399.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 5454 away from 5853, we end up with 399.
Bring next digit (8) of the dividend behind the 399 and repeat the process: 3998 / 909

Step 5:
3998 divided by 909 is 4 with a remainder of 362.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtracting 3636 from 3998 leaves us with 362.
Take the next digit (7) from the dividend and append it to 362, then repeat: 3627 / 909

Moving on to step 6:
909 goes into 3627 3 times with a remainder of 900.
The next digit of our result is 3. 
Result so far: 643.0
If we subtract 2727 from 3627, we get 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9000, and continue the process.

On to step 7:
When dividing 9000 by 909, we get 9 with a remainder of 819.
Use 9 as the next digit of our solution. 
Result so far: 643.9
The remainder is 819 after subtracting 8181 from 9000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8190, and continue the process.

Advancing to step 8:
909 can be fit into 8190 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 643.99
If we take 8181 away from 8190, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 643.99 and a remainder of 0.009.