81097090 divided by 589 
The aim is to understand the frequency of 589 in 81097090.

On to step 1:
If we divide 8 by 589, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 589

Step 2:
When dividing 81 by 589, we get 0 with a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Fetch the next digit (0) from the dividend, attach it to 81 and continue: 810 / 589

Let's proceed to step 3:
When dividing 810 by 589, we get 1 with a remainder of 221.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 589 from 810 leaves us with 221.
Fetch the next digit (9) from the dividend, attach it to 221 and continue: 2219 / 589

Moving on to step 4:
When dividing 2219 by 589, we get 3 with a remainder of 452.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 1767 from 2219 and we're left with 452.
Take the next digit (7) from the dividend and append it to 452, then repeat: 4527 / 589

Moving on to step 5:
If we divide 4527 by 589, we get 7 and a remainder of 404.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
The remainder is 404 after subtracting 4123 from 4527.
Include the next digit (0) from the dividend after 404, then repeat: 4040 / 589

Advancing to step 6:
If we divide 4040 by 589, we get 6 and a remainder of 506.
Put 6 as the next digit of the answer. 
Result so far: 1376.0
The remainder is 506 after subtracting 3534 from 4040.
Take the next digit (9) from the dividend and append it to 506, then repeat: 5069 / 589

On to step 7:
5069 divided by 589 is 8 with a remainder of 357.
Put 8 as the next digit of the answer. 
Result so far: 13768.0
If we subtract 4712 from 5069, we get 357.
Fetch the next digit (0) from the dividend, attach it to 357 and continue: 3570 / 589

Step 8:
3570 divided by 589 is 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 137686.0
Subtracting 3534 from 3570 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
589 can be fit into 360 0 times, resulting in a remainder of 360.
Write down 0 as next digit of the result. 
Result so far: 137686.0
Deduct 0 from 360 and we're left with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Going ahead to step 10:
3600 divided by 589 is 6 with a remainder of 66.
Write down 6 as next digit of the result. 
Result so far: 137686.06
Deduct 3534 from 3600 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 11:
589 can be fit into 660 1 times, resulting in a remainder of 71.
The number 1 becomes the next digit in our result. 
Result so far: 137686.061
Subtracting 589 from 660 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 12:
When dividing 710 by 589, we get 1 with a remainder of 121.
Put 1 as the next digit of the answer. 
Result so far: 137686.0611
If we subtract 589 from 710, we get 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

After the division, we end up with 137686.0611 and a remainder of 0.00121.