We're dividing 517757 by 85 
We want to figure out the number of times 517757 can be divided by 85.

Let's proceed to step 1:
85 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 85

Advancing to step 2:
If we divide 51 by 85, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 85

Going ahead to step 3:
85 goes into 517 6 times with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 510 away from 517, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 85

Let's proceed to step 4:
85 goes into 77 0 times with a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtract 0 from 77 to get 77.
Include the next digit (5) from the dividend after 77, then repeat: 775 / 85

Moving on to step 5:
If we divide 775 by 85, we get 9 and a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 609.0
If we take 765 away from 775, we end up with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 85

Step 6:
85 goes into 107 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 6091.0
Deduct 85 from 107 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
When dividing 220 by 85, we get 2 with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 6091.2
Subtract 170 from 220 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
When dividing 500 by 85, we get 5 with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 6091.25
If we take 425 away from 500, we end up with 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 9:
If we divide 750 by 85, we get 8 and a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 6091.258
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.

Let's proceed to step 10:
The number 85 fits into 700 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 6091.2588
If we take 680 away from 700, we end up 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.

The final result is 6091.2588 with a remainder of 0.0002.