584269 divided by 21 
We're looking to find how many times 21 goes into 584269.

Going ahead to step 1:
When dividing 5 by 21, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 21

Let's proceed to step 2:
The number 21 fits into 58 2 times, leaving a remainder of 16.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 42 from 58 and we're left with 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 21

Moving on to step 3:
164 divided by 21 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 27.0
The remainder is 17 after subtracting 147 from 164.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 21

Let's proceed to step 4:
172 divided by 21 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 278.0
If we subtract 168 from 172, we get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 21

Going ahead to step 5:
If we divide 46 by 21, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2782.0
Subtracting 42 from 46 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 21

Step 6:
The number 21 fits into 49 2 times, leaving a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 27822.0
The remainder is 7 after subtracting 42 from 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 21 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 27822.3
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
21 goes into 70 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 27822.33
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 27822.33 with a remainder of 0.007.