We look at the division of 581573 by 71 
We're looking to find how many times 71 goes into 581573.

Step 1:
5 divided by 71 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 71

Going ahead to step 2:
71 can be fit into 58 0 times, resulting in a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 71

Advancing to step 3:
71 can be fit into 581 8 times, resulting in a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 568 from 581, we get 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 71

Let's proceed to step 4:
When dividing 135 by 71, we get 1 with a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtracting 71 from 135 leaves us with 64.
Grab the next digit (7) from the dividend, add it to 64, then carry on: 647 / 71

Going ahead to step 5:
71 can be fit into 647 9 times, resulting in a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 819.0
If we subtract 639 from 647, we get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 71

On to step 6:
83 divided by 71 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 8191.0
If we take 71 away from 83, we end up 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.

Advancing to step 7:
120 divided by 71 is 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 8191.1
The remainder is 49 after subtracting 71 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
The number 71 fits into 490 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 8191.16
The remainder is 64 after subtracting 426 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
When dividing 640 by 71, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 8191.169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
10 divided by 71 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 8191.169
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
If we divide 100 by 71, we get 1 and a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 8191.16901
The remainder is 29 after subtracting 71 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
71 goes into 290 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 8191.169014
The remainder is 6 after subtracting 284 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
If we divide 60 by 71, we get 0 and a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8191.169014
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 14:
71 goes into 600 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 8191.16901408
If we subtract 568 from 600, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 8191.16901408 with a remaining 3.2e-08.