We're dividing 6582 by 89 
We want to divide 6582 by 89.

Advancing to step 1:
When dividing 6 by 89, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 89

On to step 2:
If we divide 65 by 89, we get 0 and a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Take the next digit (8) from the dividend and append it to 65, then repeat: 658 / 89

Advancing to step 3:
89 can be fit into 658 7 times, resulting in a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 623 from 658, we get 35.
Include the next digit (2) from the dividend after 35, then repeat: 352 / 89

On to step 4:
If we divide 352 by 89, we get 3 and a remainder of 85.
Put 3 as the next digit of the answer. 
Result so far: 73.0
The remainder is 85 after subtracting 267 from 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 5:
If we divide 850 by 89, we get 9 and a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 73.9
If we subtract 801 from 850, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 6:
89 can be fit into 490 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 73.95
If we subtract 445 from 490, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
When dividing 450 by 89, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 73.955
Subtracting 445 from 450 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 73.955 with a balance of 0.0005.