576508 ÷ 10 
We're looking to find how many times 10 goes into 576508.

Advancing to step 1:
The number 10 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 10

Step 2:
10 can be fit into 57 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 50 from 57, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 10

On to step 3:
The number 10 fits into 76 7 times, leaving a remainder of 6.
The next digit of our result is 7. 
Result so far: 57.0
Deduct 70 from 76 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 10

On to step 4:
10 goes into 65 6 times with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 576.0
Subtract 60 from 65 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 10

On to step 5:
10 can be fit into 50 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 5765.0
Deduct 50 from 50 and we're left with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 10

Moving on to step 6:
When dividing 8 by 10, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 57650.0
Subtracting 0 from 8 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 10 fits into 80 8 times, leaving a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 57650.8
The remainder is 0 after subtracting 80 from 80.
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:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 57650.8
If we subtract 0 from 0, we 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.

Let's proceed to step 9:
10 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 57650.8
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 57650.8 with a remainder of 0.0.