259 divided by 89 
The aim is to understand the frequency of 89 in 259.

Moving on to step 1:
If we divide 2 by 89, we get 0 and a remainder of 2.
Write down 0 as next digit of 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 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 89

Step 3:
If we divide 259 by 89, we get 2 and a remainder of 81.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 178 from 259 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 4:
89 goes into 810 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 2.9
Subtracting 801 from 810 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 5:
If we divide 90 by 89, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 2.91
Subtract 89 from 90 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
The number 89 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2.91
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
When dividing 100 by 89, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 2.9101
If we take 89 away from 100, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
When dividing 110 by 89, we get 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 2.91011
Subtracting 89 from 110 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 2.91011 with a balance of 2.1e-05.