We're dividing 516585 by 85 
We want to divide 516585 by 85.

On to step 1:
5 divided by 85 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 85

Advancing to step 2:
When dividing 51 by 85, we get 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 85

Going ahead to step 3:
516 divided by 85 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 510 from 516 to get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 85

Let's proceed to step 4:
If we divide 65 by 85, we get 0 and a remainder of 65.
The next digit of our result is 0. 
Result so far: 60.0
The remainder is 65 after subtracting 0 from 65.
Grab the next digit (8) from the dividend, add it to 65, then carry on: 658 / 85

On to step 5:
The number 85 fits into 658 7 times, leaving a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 607.0
Subtract 595 from 658 to get 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 85

On to step 6:
When dividing 635 by 85, we get 7 with a remainder of 40.
The next digit of our result is 7. 
Result so far: 6077.0
If we subtract 595 from 635, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
400 divided by 85 is 4 with a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 6077.4
Deduct 340 from 400 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
When dividing 600 by 85, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 6077.47
Subtract 595 from 600 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
When dividing 50 by 85, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6077.47
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
If we divide 500 by 85, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 6077.4705
Subtract 425 from 500 to 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.

Step 11:
85 can be fit into 750 8 times, resulting in a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 6077.47058
Deduct 680 from 750 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 12:
If we divide 700 by 85, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 6077.470588
If we subtract 680 from 700, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 6077.470588 with a remaining 2e-06.