We're dividing 587991 by 71 
We want to divide 587991 by 71.

Moving on to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 71

Advancing to step 2:
The number 71 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Include the next digit (7) from the dividend after 58, then repeat: 587 / 71

On to step 3:
71 can be fit into 587 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 568 from 587 to get 19.
Bring next digit (9) of the dividend behind the 19 and repeat the process: 199 / 71

Let's proceed to step 4:
When dividing 199 by 71, we get 2 with a remainder of 57.
Write down 2 as next digit of the result. 
Result so far: 82.0
Subtract 142 from 199 to get 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 71

Moving on to step 5:
The number 71 fits into 579 8 times, leaving a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 828.0
The remainder is 11 after subtracting 568 from 579.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 71

On to step 6:
71 can be fit into 111 1 times, resulting in a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 8281.0
If we subtract 71 from 111, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
If we divide 400 by 71, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 8281.5
If we subtract 355 from 400, 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.

Going ahead to step 8:
71 goes into 450 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8281.56
If we take 426 away from 450, we end up 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.

Going ahead to step 9:
240 divided by 71 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 8281.563
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 10:
When dividing 270 by 71, we get 3 with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 8281.5633
Deduct 213 from 270 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 8281.5633 and a remainder of 0.00057.