We look at the division of 2589 by 81 
We want to divide 2589 by 81.

On to step 1:
If we divide 2 by 81, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 81

Let's proceed to step 2:
When dividing 25 by 81, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 81

Moving on to step 3:
81 can be fit into 258 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 243 from 258 leaves us with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 81

On to step 4:
If we divide 159 by 81, we get 1 and a remainder of 78.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
Subtract 81 from 159 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 5:
780 divided by 81 is 9 with a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 31.9
If we take 729 away from 780, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 6:
When dividing 510 by 81, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 31.96
Subtracting 486 from 510 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 81, we get 2 with a remainder of 78.
The next digit of our result is 2. 
Result so far: 31.962
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 8:
The number 81 fits into 780 9 times, leaving a remainder of 51.
The next digit of our result is 9. 
Result so far: 31.9629
Subtract 729 from 780 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.

Let's proceed to step 9:
If we divide 510 by 81, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 31.96296
Deduct 486 from 510 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
81 can be fit into 240 2 times, resulting in a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 31.962962
If we subtract 162 from 240, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 11:
81 goes into 780 9 times with a remainder of 51.
The next digit of our result is 9. 
Result so far: 31.9629629
If we take 729 away from 780, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 12:
The number 81 fits into 510 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 31.96296296
Subtracting 486 from 510 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 31.96296296 with a balance of 2.4e-08.