586012 ÷ 10 
Our goal is to divide 586012 by 10.

Step 1:
5 divided by 10 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 10

Advancing to step 2:
10 can be fit into 58 5 times, resulting in a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 50 from 58 and we're left with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 10

Step 3:
10 can be fit into 86 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 58.0
Deduct 80 from 86 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 10

Going ahead to step 4:
10 can be fit into 60 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 586.0
Deduct 60 from 60 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 10

Let's proceed to step 5:
10 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 5860.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 10

Step 6:
If we divide 12 by 10, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 58601.0
Subtract 10 from 12 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 10 fits into 20 2 times, leaving a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 58601.2
Deduct 20 from 20 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.

Moving on to step 8:
The number 10 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 58601.2
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.

Step 9:
10 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 58601.2
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.

After the division, we end up with 58601.2 and a remainder of 0.0.