We look at the division of 800584 by 71 
We're looking to find how many times 71 goes into 800584.

Let's proceed to step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 71

Let's proceed to step 2:
71 can be fit into 80 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 71 from 80, we get 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 71

Step 3:
71 can be fit into 90 1 times, resulting in a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 71 from 90 to get 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 71

Advancing to step 4:
When dividing 195 by 71, we get 2 with a remainder of 53.
Use 2 as the next digit of our solution. 
Result so far: 112.0
Subtract 142 from 195 to get 53.
Grab the next digit (8) from the dividend, add it to 53, then carry on: 538 / 71

Moving on to step 5:
The number 71 fits into 538 7 times, leaving a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 1127.0
Deduct 497 from 538 and we're left with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 71

Advancing to step 6:
The number 71 fits into 414 5 times, leaving a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 11275.0
The remainder is 59 after subtracting 355 from 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
71 can be fit into 590 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 11275.8
Subtract 568 from 590 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 71, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11275.83
Subtracting 213 from 220 leaves us 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.

Moving on to step 9:
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: 11275.83
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 10:
When dividing 700 by 71, we get 9 with a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 11275.8309
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 11:
If we divide 610 by 71, we get 8 and a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 11275.83098
Subtracting 568 from 610 leaves us 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.

Step 12:
If we divide 420 by 71, we get 5 and a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 11275.830985
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.

Going ahead to step 13:
When dividing 650 by 71, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 11275.8309859
The remainder is 11 after subtracting 639 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
If we divide 110 by 71, we get 1 and a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 11275.83098591
Subtracting 71 from 110 leaves us 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.

In conclusion, the division gives 11275.83098591 with a balance of 3.9e-08.