We're dividing 588568 by 10 
We're looking to find how many times 10 goes into 588568.

Moving on to step 1:
When dividing 5 by 10, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 10

Going ahead to step 2:
The number 10 fits into 58 5 times, leaving a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 50 from 58 leaves us with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 10

Let's proceed to step 3:
When dividing 88 by 10, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Deduct 80 from 88 and we're left with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 10

Let's proceed to step 4:
85 divided by 10 is 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 588.0
If we subtract 80 from 85, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 10

Going ahead to step 5:
10 goes into 56 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5885.0
If we take 50 away from 56, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 10

Going ahead to step 6:
68 divided by 10 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 58856.0
Subtract 60 from 68 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
80 divided by 10 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 58856.8
Deduct 80 from 80 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.

Advancing to step 8:
The number 10 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 58856.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead 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: 58856.8
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.

In conclusion, the division gives 58856.8 with a balance of 0.0.