442569 ÷ 21 
Our goal is to divide 442569 by 21.

Let's proceed to step 1:
When dividing 4 by 21, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 21

Step 2:
If we divide 44 by 21, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 42 from 44 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 21

Advancing to step 3:
21 goes into 22 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 21 away from 22, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 21

On to step 4:
If we divide 15 by 21, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.0
Subtract 0 from 15 to get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 21

Step 5:
The number 21 fits into 156 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 2107.0
Subtract 147 from 156 to get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 21

Step 6:
The number 21 fits into 99 4 times, leaving a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 21074.0
Subtracting 84 from 99 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
If we divide 150 by 21, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 21074.7
Subtract 147 from 150 to get 3.
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:
The number 21 fits into 30 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 21074.71
If we subtract 21 from 30, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
21 goes into 90 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 21074.714
If we take 84 away from 90, we end up with 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:
When dividing 60 by 21, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 21074.7142
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
180 divided by 21 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 21074.71428
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
21 can be fit into 120 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 21074.714285
Deduct 105 from 120 and we're left with 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.
The next digit of our result is 7. 
Result so far: 21074.7142857
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:
If we divide 30 by 21, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 21074.71428571
The remainder is 9 after subtracting 21 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 21074.71428571 with a remaining 9e-09.