583259 ÷ 21 
Our goal is to divide 583259 by 21.

Moving on to step 1:
5 divided by 21 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 / 21

On to step 2:
58 divided by 21 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 42 from 58 to get 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 21

Step 3:
163 divided by 21 is 7 with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Deduct 147 from 163 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 21

Let's proceed to step 4:
21 can be fit into 162 7 times, resulting in a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 277.0
If we subtract 147 from 162, we get 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 21

On to step 5:
155 divided by 21 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 2777.0
Subtracting 147 from 155 leaves us with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 21

On to step 6:
If we divide 89 by 21, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 27774.0
If we subtract 84 from 89, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
21 can be fit into 50 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 27774.2
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
If we divide 80 by 21, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 27774.23
Subtracting 63 from 80 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
21 can be fit into 170 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 27774.238
Subtracting 168 from 170 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
If we divide 20 by 21, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 27774.238
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
When dividing 200 by 21, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 27774.23809
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 27774.238095
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
21 goes into 50 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 27774.2380952
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 21 is 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 27774.23809523
Subtract 63 from 80 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 27774.23809523, and the remainder is 1.7e-08.