586915 divided by 85 
Our goal is to divide 586915 by 85.

Step 1:
5 divided by 85 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 85

On to step 2:
If we divide 58 by 85, we get 0 and a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 85

Going ahead to step 3:
When dividing 586 by 85, we get 6 with a remainder of 76.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 76 after subtracting 510 from 586.
Append the next digit (9) from the dividend to 76 and continue with: 769 / 85

Step 4:
The number 85 fits into 769 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 69.0
Deduct 765 from 769 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 85

Moving on to step 5:
85 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 690.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (5) from the dividend after 41, then repeat: 415 / 85

Let's proceed to step 6:
When dividing 415 by 85, we get 4 with a remainder of 75.
Use 4 as the next digit of our solution. 
Result so far: 6904.0
If we subtract 340 from 415, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
If we divide 750 by 85, we get 8 and a remainder of 70.
Write down 8 as next digit of the result. 
Result so far: 6904.8
Subtract 680 from 750 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
When dividing 700 by 85, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 6904.88
Subtracting 680 from 700 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 6904.88 with a balance of 0.02.