582301 ÷ 21 
Our goal is to divide 582301 by 21.

Going ahead to step 1:
If we divide 5 by 21, we get 0 and 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.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 21

Advancing to step 2:
The number 21 fits into 58 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 42 from 58 and we're left with 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 21

Going ahead to step 3:
21 goes into 162 7 times with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 27.0
Deduct 147 from 162 and we're left with 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 21

Moving on to step 4:
The number 21 fits into 153 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 277.0
Subtracting 147 from 153 leaves us with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 21

Let's proceed to step 5:
If we divide 60 by 21, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2772.0
Subtracting 42 from 60 leaves us with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 21

Going ahead to step 6:
If we divide 181 by 21, we get 8 and a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 27728.0
The remainder is 13 after subtracting 168 from 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
130 divided by 21 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 27728.6
If we take 126 away from 130, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
21 can be fit into 40 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 27728.61
Deduct 21 from 40 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 27728.619
Deduct 189 from 190 and we're left 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 10:
10 divided by 21 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 27728.619
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.

On to step 11:
100 divided by 21 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 27728.61904
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
21 goes into 160 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 27728.619047
If we subtract 147 from 160, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 13:
When dividing 130 by 21, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 27728.6190476
Subtracting 126 from 130 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
40 divided by 21 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 27728.61904761
If we take 21 away from 40, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 27728.61904761 with a balance of 1.9e-08.