We divide 584119 by 21
We're looking to find how many times 21 goes into 584119.

Going ahead to step 1:
5 divided by 21 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 21

Advancing to step 2:
If we divide 58 by 21, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 42 away from 58, we end up with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 21

On to step 3:
When dividing 164 by 21, we get 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.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 21

Advancing to step 4:
171 divided by 21 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 278.0
The remainder is 3 after subtracting 168 from 171.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 21

Moving on to step 5:
The number 21 fits into 31 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 2781.0
Subtracting 21 from 31 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 21

Let's proceed to step 6:
When dividing 109 by 21, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 27815.0
Subtract 105 from 109 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 21 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 27815.1
The remainder is 19 after subtracting 21 from 40.
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 8:
190 divided by 21 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 27815.19
If we subtract 189 from 190, 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.

Advancing to step 9:
When dividing 10 by 21, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 27815.19
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 10:
The number 21 fits into 100 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 27815.1904
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
160 divided by 21 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 27815.19047
Subtract 147 from 160 to 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 12:
21 can be fit into 130 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 27815.190476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
When dividing 40 by 21, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 27815.1904761
Subtracting 21 from 40 leaves us 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.

Going ahead to step 14:
21 goes into 190 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 27815.19047619
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.

In conclusion, the division gives 27815.19047619 with a balance of 1e-09.