Let's divide 261259 by 89
The aim is to understand the frequency of 89 in 261259.

On to step 1:
When dividing 2 by 89, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 89

Let's proceed to step 2:
If we divide 26 by 89, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 89

Advancing to step 3:
89 goes into 261 2 times with a remainder of 83.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 83 after subtracting 178 from 261.
Grab the next digit (2) from the dividend, add it to 83, then carry on: 832 / 89

Step 4:
89 can be fit into 832 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 29.0
Subtracting 801 from 832 leaves us with 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 89

Step 5:
When dividing 315 by 89, we get 3 with a remainder of 48.
Put 3 as the next digit of the answer. 
Result so far: 293.0
If we subtract 267 from 315, we get 48.
Take the next digit (9) from the dividend and append it to 48, then repeat: 489 / 89

On to step 6:
If we divide 489 by 89, we get 5 and a remainder of 44.
Put 5 as the next digit of the answer. 
Result so far: 2935.0
Subtract 445 from 489 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
89 goes into 440 4 times with a remainder of 84.
The number 4 becomes the next digit in our result. 
Result so far: 2935.4
Deduct 356 from 440 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 8:
If we divide 840 by 89, we get 9 and a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 2935.49
The remainder is 39 after subtracting 801 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
89 goes into 390 4 times with a remainder of 34.
The next digit of our result is 4. 
Result so far: 2935.494
Deduct 356 from 390 and we're left 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.

Let's proceed to step 10:
The number 89 fits into 340 3 times, leaving a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 2935.4943
If we take 267 away from 340, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 11:
89 can be fit into 730 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 2935.49438
Deduct 712 from 730 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
The number 89 fits into 180 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2935.494382
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.

Let's proceed to step 13:
89 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2935.494382
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.

Advancing to step 14:
If we divide 200 by 89, we get 2 and a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2935.49438202
If we take 178 away from 200, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 2935.49438202 with a balance of 2.2e-08.