We're dividing 23111 by 89 
The aim is to understand the frequency of 89 in 23111.

On to step 1:
If we divide 2 by 89, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 89

Let's proceed to step 2:
When dividing 23 by 89, we get 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 23 leaves us with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 89

Moving on to step 3:
231 divided by 89 is 2 with a remainder of 53.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 178 away from 231, we end up with 53.
Append the next digit (1) from the dividend to 53 and continue with: 531 / 89

Moving on to step 4:
89 can be fit into 531 5 times, resulting in a remainder of 86.
Put 5 as the next digit of the answer. 
Result so far: 25.0
If we subtract 445 from 531, we get 86.
Fetch the next digit (1) from the dividend, attach it to 86 and continue: 861 / 89

Let's proceed to step 5:
When dividing 861 by 89, we get 9 with a remainder of 60.
The number 9 becomes the next digit in our result. 
Result so far: 259.0
If we subtract 801 from 861, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 6:
The number 89 fits into 600 6 times, leaving a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 259.6
If we subtract 534 from 600, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 7:
When dividing 660 by 89, we get 7 with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 259.67
Deduct 623 from 660 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 8:
The number 89 fits into 370 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 259.674
Subtracting 356 from 370 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
89 can be fit into 140 1 times, resulting in a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 259.6741
Subtract 89 from 140 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 10:
510 divided by 89 is 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 259.67415
If we subtract 445 from 510, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 11:
89 goes into 650 7 times with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 259.674157
Subtract 623 from 650 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 12:
The number 89 fits into 270 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 259.6741573
Subtract 267 from 270 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
89 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 259.6741573
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 259.6741573, with a leftover of 3e-08.