We divide 509525 by 85
Our goal is to divide 509525 by 85.

Step 1:
When dividing 5 by 85, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 85

On to step 2:
50 divided by 85 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 85

Advancing to step 3:
If we divide 509 by 85, we get 5 and a remainder of 84.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 425 from 509, we get 84.
Take the next digit (5) from the dividend and append it to 84, then repeat: 845 / 85

Advancing to step 4:
When dividing 845 by 85, we get 9 with a remainder of 80.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtract 765 from 845 to get 80.
Take the next digit (2) from the dividend and append it to 80, then repeat: 802 / 85

Going ahead to step 5:
If we divide 802 by 85, we get 9 and a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 599.0
Subtract 765 from 802 to get 37.
Fetch the next digit (5) from the dividend, attach it to 37 and continue: 375 / 85

Let's proceed to step 6:
When dividing 375 by 85, we get 4 with a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 5994.0
The remainder is 35 after subtracting 340 from 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
When dividing 350 by 85, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 5994.4
Subtracting 340 from 350 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 85 fits into 100 1 times, leaving a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 5994.41
If we take 85 away from 100, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
The number 85 fits into 150 1 times, leaving a remainder of 65.
The next digit of our result is 1. 
Result so far: 5994.411
Subtracting 85 from 150 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 5994.411 with a remainder of 0.0065.