We're dividing 422557 by 21 
We want to figure out the number of times 422557 can be divided by 21.

Step 1:
4 divided by 21 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 21

Step 2:
When dividing 42 by 21, we get 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 42 from 42 and we're left with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 21

Going ahead to step 3:
21 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 21

Advancing to step 4:
25 divided by 21 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 201.0
Subtracting 21 from 25 leaves us with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 21

Advancing to step 5:
45 divided by 21 is 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2012.0
If we subtract 42 from 45, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 21

Step 6:
21 can be fit into 37 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 20121.0
If we subtract 21 from 37, 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.

Moving on to step 7:
160 divided by 21 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 20121.7
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
130 divided by 21 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 20121.76
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.

Let's proceed to step 9:
40 divided by 21 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 20121.761
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 10:
When dividing 190 by 21, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 20121.7619
The remainder is 1 after subtracting 189 from 190.
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 11:
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: 20121.7619
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.

Going ahead to step 12:
When dividing 100 by 21, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 20121.761904
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.

Advancing to step 13:
When dividing 160 by 21, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 20121.7619047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 14:
If we divide 130 by 21, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 20121.76190476
Subtract 126 from 130 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.

The quotient of the division is 20121.76190476, and the remainder is 4e-09.