81782 divided by 89 
The aim is to understand the frequency of 89 in 81782.

Advancing to step 1:
The number 89 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 89

Going ahead to step 2:
If we divide 81 by 89, we get 0 and a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 81 and we're left with 81.
Grab the next digit (7) from the dividend, add it to 81, then carry on: 817 / 89

Step 3:
89 can be fit into 817 9 times, resulting in a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 801 away from 817, we end up with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 89

Advancing to step 4:
The number 89 fits into 168 1 times, leaving a remainder of 79.
Write down 1 as next digit of the result. 
Result so far: 91.0
Subtracting 89 from 168 leaves us with 79.
Fetch the next digit (2) from the dividend, attach it to 79 and continue: 792 / 89

Going ahead to step 5:
792 divided by 89 is 8 with a remainder of 80.
Use 8 as the next digit of our solution. 
Result so far: 918.0
Deduct 712 from 792 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 6:
If we divide 800 by 89, we get 8 and a remainder of 88.
The next digit of our result is 8. 
Result so far: 918.8
Subtract 712 from 800 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 7:
880 divided by 89 is 9 with a remainder of 79.
Use 9 as the next digit of our solution. 
Result so far: 918.89
Deduct 801 from 880 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 8:
89 goes into 790 8 times with a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 918.898
The remainder is 78 after subtracting 712 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 9:
When dividing 780 by 89, we get 8 with a remainder of 68.
The next digit of our result is 8. 
Result so far: 918.8988
If we subtract 712 from 780, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 918.8988 with a balance of 0.00068.