We look at the division of 586067 by 71 
Let's see how many times 71 fits into 586067.

Moving on to step 1:
The number 71 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
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 71

Going ahead to step 2:
58 divided by 71 is 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (6) from the dividend, add it to 58, then carry on: 586 / 71

Let's proceed to step 3:
71 goes into 586 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 568 from 586 leaves us with 18.
Grab the next digit (0) from the dividend, add it to 18, then carry on: 180 / 71

Step 4:
If we divide 180 by 71, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtract 142 from 180 to get 38.
Append the next digit (6) from the dividend to 38 and continue with: 386 / 71

Step 5:
71 can be fit into 386 5 times, resulting in a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 825.0
Deduct 355 from 386 and we're left with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 71

On to step 6:
The number 71 fits into 317 4 times, leaving a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 8254.0
Subtract 284 from 317 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
71 goes into 330 4 times with a remainder of 46.
The next digit of our result is 4. 
Result so far: 8254.4
Subtracting 284 from 330 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
460 divided by 71 is 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 8254.46
Subtract 426 from 460 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
340 divided by 71 is 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 8254.464
Subtract 284 from 340 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
When dividing 560 by 71, we get 7 with a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 8254.4647
Deduct 497 from 560 and we're left 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 11:
If we divide 630 by 71, we get 8 and a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 8254.46478
The remainder is 62 after subtracting 568 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 12:
If we divide 620 by 71, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 8254.464788
Subtracting 568 from 620 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 8254.464788 with a balance of 5.2e-06.