102579 ÷ 21 
Our goal is to divide 102579 by 21.

Moving on to step 1:
When dividing 1 by 21, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 21

Moving on to step 2:
21 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 21

Moving on to step 3:
If we divide 102 by 21, we get 4 and a remainder of 18.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 84 from 102 to get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 21

Let's proceed to step 4:
If we divide 185 by 21, we get 8 and a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtracting 168 from 185 leaves us with 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 21

Let's proceed to step 5:
The number 21 fits into 177 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 488.0
The remainder is 9 after subtracting 168 from 177.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 21

Going ahead to step 6:
21 can be fit into 99 4 times, resulting in a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 4884.0
If we subtract 84 from 99, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
When dividing 150 by 21, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 4884.7
The remainder is 3 after subtracting 147 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
21 goes into 30 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 4884.71
If we take 21 away from 30, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
21 goes into 90 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4884.714
If we subtract 84 from 90, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
21 goes into 60 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 4884.7142
Subtract 42 from 60 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
180 divided by 21 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 4884.71428
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
If we divide 120 by 21, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 4884.714285
If we subtract 105 from 120, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
When dividing 150 by 21, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 4884.7142857
If we take 147 away from 150, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
21 goes into 30 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 4884.71428571
Deduct 21 from 30 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 4884.71428571, and the remainder is 9e-09.