We're dividing 501689 by 85 
The aim is to understand the frequency of 85 in 501689.

Advancing to step 1:
If we divide 5 by 85, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 85

Step 2:
85 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 85

Moving on to step 3:
85 can be fit into 501 5 times, resulting in a remainder of 76.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 425 from 501 and we're left with 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 85

Let's proceed to step 4:
85 can be fit into 766 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 765 away from 766, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 85

Let's proceed to step 5:
85 can be fit into 18 0 times, resulting in a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 590.0
The remainder is 18 after subtracting 0 from 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 85

On to step 6:
The number 85 fits into 189 2 times, leaving a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 5902.0
If we subtract 170 from 189, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 85, we get 2 and a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 5902.2
Subtracting 170 from 190 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.

Step 8:
85 can be fit into 200 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 5902.22
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 5902.22 and a remainder of 0.03.