89666 ÷ 53 
The aim is to understand the frequency of 53 in 89666.

Let's proceed to step 1:
The number 53 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 53

Advancing to step 2:
53 goes into 89 1 times with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 53 from 89, we get 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 53

Let's proceed to step 3:
53 can be fit into 366 6 times, resulting in a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 318 away from 366, we end up with 48.
Append the next digit (6) from the dividend to 48 and continue with: 486 / 53

Advancing to step 4:
53 can be fit into 486 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 169.0
If we subtract 477 from 486, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 53

Step 5:
53 goes into 96 1 times with a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 1691.0
Deduct 53 from 96 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 6:
When dividing 430 by 53, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 1691.8
Subtract 424 from 430 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 53, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1691.81
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
If we divide 70 by 53, we get 1 and a remainder of 17.
The next digit of our result is 1. 
Result so far: 1691.811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 1691.811 and a remainder of 0.0017.