260270 divided by 89 
The aim is to understand the frequency of 89 in 260270.

Let's proceed to step 1:
2 divided by 89 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 89

On to step 2:
26 divided by 89 is 0 with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 89

Going ahead to step 3:
89 goes into 260 2 times with a remainder of 82.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 178 from 260 and we're left with 82.
Take the next digit (2) from the dividend and append it to 82, then repeat: 822 / 89

Let's proceed to step 4:
If we divide 822 by 89, we get 9 and a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 29.0
Subtract 801 from 822 to get 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 89

Step 5:
The number 89 fits into 217 2 times, leaving a remainder of 39.
The next digit of our result is 2. 
Result so far: 292.0
If we take 178 away from 217, we end up with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 89

Moving on to step 6:
89 can be fit into 390 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 2924.0
If we take 356 away from 390, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
When dividing 340 by 89, we get 3 with a remainder of 73.
Use 3 as the next digit of our solution. 
Result so far: 2924.3
Subtract 267 from 340 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 8:
89 can be fit into 730 8 times, resulting in a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 2924.38
The remainder is 18 after subtracting 712 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
When dividing 180 by 89, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2924.382
Deduct 178 from 180 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
When dividing 20 by 89, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2924.382
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
200 divided by 89 is 2 with a remainder of 22.
The next digit of our result is 2. 
Result so far: 2924.38202
If we subtract 178 from 200, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
89 goes into 220 2 times with a remainder of 42.
The next digit of our result is 2. 
Result so far: 2924.382022
Subtracting 178 from 220 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 2924.382022 with a balance of 4.2e-06.