586215 ÷ 71 
Our goal is to divide 586215 by 71.

Step 1:
71 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 71

On to step 2:
58 divided by 71 is 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 71

Advancing to step 3:
71 can be fit into 586 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 568 from 586 and we're left with 18.
Fetch the next digit (2) from the dividend, attach it to 18 and continue: 182 / 71

Let's proceed to step 4:
If we divide 182 by 71, we get 2 and a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we take 142 away from 182, we end up with 40.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 71

Advancing to step 5:
71 can be fit into 401 5 times, resulting in a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 825.0
Subtract 355 from 401 to get 46.
Bring next digit (5) of the dividend behind the 46 and repeat the process: 465 / 71

Going ahead to step 6:
The number 71 fits into 465 6 times, leaving a remainder of 39.
The next digit of our result is 6. 
Result so far: 8256.0
Deduct 426 from 465 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
When dividing 390 by 71, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 8256.5
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 71, we get 4 and a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 8256.54
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 9:
71 can be fit into 660 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 8256.549
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
When dividing 210 by 71, we get 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 8256.5492
Subtracting 142 from 210 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
If we divide 680 by 71, we get 9 and a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 8256.54929
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 12:
If we divide 410 by 71, we get 5 and a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 8256.549295
Subtracting 355 from 410 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 13:
550 divided by 71 is 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 8256.5492957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 14:
When dividing 530 by 71, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 8256.54929577
Subtracting 497 from 530 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 8256.54929577, with a leftover of 3.3e-08.