4116 ÷ 85 
The aim is to understand the frequency of 85 in 4116.

Going ahead to step 1:
85 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 85

Let's proceed to step 2:
When dividing 41 by 85, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 85

Step 3:
411 divided by 85 is 4 with a remainder of 71.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 340 from 411 to get 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 85

Moving on to step 4:
85 can be fit into 716 8 times, resulting in a remainder of 36.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 680 from 716 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 5:
When dividing 360 by 85, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 48.4
Deduct 340 from 360 and we're left 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.

Moving on to step 6:
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: 48.42
Deduct 170 from 200 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
85 goes into 300 3 times with a remainder of 45.
Write down 3 as next digit of the result. 
Result so far: 48.423
Subtract 255 from 300 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
If we divide 450 by 85, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 48.4235
The remainder is 25 after subtracting 425 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
85 goes into 250 2 times with a remainder of 80.
The next digit of our result is 2. 
Result so far: 48.42352
If we take 170 away from 250, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 10:
85 can be fit into 800 9 times, resulting in a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 48.423529
Subtracting 765 from 800 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
85 goes into 350 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 48.4235294
The remainder is 10 after subtracting 340 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
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: 48.42352941
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 48.42352941, and the remainder is 1.5e-08.