We're dividing 584606 by 71 
We want to divide 584606 by 71.

Let's proceed to step 1:
5 divided by 71 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
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

Moving on to step 2:
If we divide 58 by 71, we get 0 and a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 71

Moving on to step 3:
71 goes into 584 8 times with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 568 from 584, we get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 71

Step 4:
The number 71 fits into 166 2 times, leaving a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we subtract 142 from 166, we get 24.
Grab the next digit (0) from the dividend, add it to 24, then carry on: 240 / 71

Let's proceed to step 5:
71 goes into 240 3 times with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 823.0
If we subtract 213 from 240, we get 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 71

Going ahead to step 6:
276 divided by 71 is 3 with a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 8233.0
If we take 213 away from 276, we end up 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.

Let's proceed to step 7:
71 goes into 630 8 times with a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 8233.8
Subtracting 568 from 630 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 8:
71 can be fit into 620 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 8233.88
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.

The quotient of the division is 8233.88, and the remainder is 0.052.