586009 divided by 9 
Let's see how many times 9 fits into 586009.

On to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 9

Let's proceed to step 2:
The number 9 fits into 58 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 54 from 58 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 9

Let's proceed to step 3:
The number 9 fits into 46 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtract 45 from 46 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 9

On to step 4:
9 goes into 10 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 651.0
Subtract 9 from 10 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 9

Step 5:
9 goes into 10 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 6511.0
Subtract 9 from 10 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 9

On to step 6:
If we divide 19 by 9, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 65112.0
Subtract 18 from 19 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 65112.1
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
When dividing 10 by 9, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 65112.11
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 65112.11, with a leftover of 0.001.