We divide 580596 by 8
Let's see how many times 8 fits into 580596.

Going ahead to step 1:
If we divide 5 by 8, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 8

Let's proceed to step 2:
8 can be fit into 58 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 56 from 58, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 8

Step 3:
8 can be fit into 20 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Subtract 16 from 20 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 4:
The number 8 fits into 45 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 725.0
If we take 40 away from 45, we end up with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 8

On to step 5:
If we divide 59 by 8, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7257.0
Subtracting 56 from 59 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 8

Advancing to step 6:
The number 8 fits into 36 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 72574.0
If we subtract 32 from 36, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 72574.5
The remainder is 0 after subtracting 40 from 40.
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 8, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 72574.5
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 9:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 72574.5
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.

The final result is 72574.5 with a remainder of 0.0.