We look at the division of 585610 by 71 
We want to figure out the number of times 585610 can be divided by 71.

Moving on to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 71

Going ahead to step 2:
71 can be fit into 58 0 times, resulting in a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 71

Advancing to step 3:
If we divide 585 by 71, we get 8 and a remainder of 17.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 568 from 585 leaves us with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 71

On to step 4:
If we divide 176 by 71, we get 2 and a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
If we take 142 away from 176, we end up with 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 71

Step 5:
341 divided by 71 is 4 with a remainder of 57.
The next digit of our result is 4. 
Result so far: 824.0
If we take 284 away from 341, we end up with 57.
Include the next digit (0) from the dividend after 57, then repeat: 570 / 71

On to step 6:
When dividing 570 by 71, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8248.0
Subtracting 568 from 570 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 71, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8248.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 71 is 2 with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 8248.02
If we subtract 142 from 200, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 9:
If we divide 580 by 71, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 8248.028
Subtracting 568 from 580 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
The number 71 fits into 120 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 8248.0281
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 11:
490 divided by 71 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 8248.02816
Subtract 426 from 490 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
71 can be fit into 640 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 8248.028169
If we take 639 away from 640, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
If we divide 10 by 71, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8248.028169
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
If we divide 100 by 71, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 8248.02816901
If we subtract 71 from 100, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 8248.02816901 with a remainder of 2.9e-08.