We're dividing 587961 by 81 
Our goal is to divide 587961 by 81.

Going ahead to step 1:
The number 81 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 81

Moving on to step 2:
The number 81 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Bring next digit (7) of the dividend behind the 58 and repeat the process: 587 / 81

Let's proceed to step 3:
587 divided by 81 is 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 567 from 587 to get 20.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 81

Moving on to step 4:
If we divide 209 by 81, we get 2 and a remainder of 47.
The next digit of our result is 2. 
Result so far: 72.0
Deduct 162 from 209 and we're left with 47.
Grab the next digit (6) from the dividend, add it to 47, then carry on: 476 / 81

Going ahead to step 5:
81 goes into 476 5 times with a remainder of 71.
Record the quotient 5 as the next digit in the result. 
Result so far: 725.0
The remainder is 71 after subtracting 405 from 476.
Grab the next digit (1) from the dividend, add it to 71, then carry on: 711 / 81

Step 6:
When dividing 711 by 81, we get 8 with a remainder of 63.
Write down 8 as next digit of the result. 
Result so far: 7258.0
If we subtract 648 from 711, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
The number 81 fits into 630 7 times, leaving a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 7258.7
Subtracting 567 from 630 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 8:
When dividing 630 by 81, we get 7 with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 7258.77
Subtracting 567 from 630 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

In conclusion, the division gives 7258.77 with a balance of 0.063.