257566 ÷ 89 
The aim is to understand the frequency of 89 in 257566.

On to step 1:
89 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 89

Step 2:
89 can be fit into 25 0 times, resulting in a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 89

Moving on to step 3:
The number 89 fits into 257 2 times, leaving a remainder of 79.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 178 from 257 to get 79.
Append the next digit (5) from the dividend to 79 and continue with: 795 / 89

On to step 4:
89 can be fit into 795 8 times, resulting in a remainder of 83.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
If we take 712 away from 795, we end up with 83.
Append the next digit (6) from the dividend to 83 and continue with: 836 / 89

Let's proceed to step 5:
The number 89 fits into 836 9 times, leaving a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 289.0
Subtracting 801 from 836 leaves us with 35.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 89

Advancing to step 6:
When dividing 356 by 89, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 2894.0
Subtracting 356 from 356 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
89 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2894.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 89, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2894.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 2894.0 with a remainder of 0.0.