587680 ÷ 71 
Our goal is to divide 587680 by 71.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 71

On to step 2:
71 can be fit into 58 0 times, resulting in a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Append the next digit (7) from the dividend to 58 and continue with: 587 / 71

On to step 3:
If we divide 587 by 71, we get 8 and a remainder of 19.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 568 from 587 and we're left with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 71

Moving on to step 4:
The number 71 fits into 196 2 times, leaving a remainder of 54.
Write down 2 as next digit of the result. 
Result so far: 82.0
The remainder is 54 after subtracting 142 from 196.
Append the next digit (8) from the dividend to 54 and continue with: 548 / 71

Advancing to step 5:
71 can be fit into 548 7 times, resulting in a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 827.0
Subtracting 497 from 548 leaves us with 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 71

Advancing to step 6:
When dividing 510 by 71, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 8277.0
Subtract 497 from 510 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 71, we get 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 8277.1
Subtracting 71 from 130 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 8:
The number 71 fits into 590 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 8277.18
Deduct 568 from 590 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
71 goes into 220 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 8277.183
If we take 213 away from 220, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 71 fits into 70 0 times, leaving a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 8277.183
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
When dividing 700 by 71, we get 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 8277.18309
Subtracting 639 from 700 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 12:
When dividing 610 by 71, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 8277.183098
If we take 568 away from 610, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
When dividing 420 by 71, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 8277.1830985
If we take 355 away from 420, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 14:
The number 71 fits into 650 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 8277.18309859
Subtracting 639 from 650 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 8277.18309859 with a balance of 1.1e-08.