511587 ÷ 9 
We're looking to find how many times 9 goes into 511587.

Moving on to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 9

Going ahead to step 2:
9 goes into 51 5 times with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 6 after subtracting 45 from 51.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 9

Moving on to step 3:
The number 9 fits into 61 6 times, leaving a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 56.0
If we take 54 away from 61, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 9

Let's proceed to step 4:
The number 9 fits into 75 8 times, leaving a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 568.0
The remainder is 3 after subtracting 72 from 75.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 9

Advancing to step 5:
38 divided by 9 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 5684.0
Deduct 36 from 38 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 9

Going ahead to step 6:
When dividing 27 by 9, we get 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 56843.0
Subtract 27 from 27 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
9 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 56843.0
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.

Let's proceed to step 8:
The number 9 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 56843.0
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.

The final result is 56843.0 with a remainder of 0.0.