Let's divide 423214 by 21
We're looking to find how many times 21 goes into 423214.

Going ahead to step 1:
21 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 21

On to step 2:
21 goes into 42 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 42 away from 42, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 21

Step 3:
The number 21 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 3, we get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 21

Going ahead to step 4:
If we divide 32 by 21, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 201.0
If we subtract 21 from 32, we get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 21

Step 5:
21 goes into 111 5 times with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 2015.0
Subtract 105 from 111 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 21

Let's proceed to step 6:
21 goes into 64 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 20153.0
Subtract 63 from 64 to 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.

Step 7:
If we divide 10 by 21, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 20153.0
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.

Let's proceed to step 8:
When dividing 100 by 21, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 20153.04
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
160 divided by 21 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 20153.047
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.

Going ahead to step 10:
If we divide 130 by 21, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 20153.0476
Deduct 126 from 130 and we're left 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.

Moving on to step 11:
If we divide 40 by 21, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 20153.04761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
If we divide 190 by 21, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 20153.047619
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.

Moving on to step 13:
The number 21 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 20153.047619
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 14:
21 goes into 100 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 20153.04761904
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.

Our division results in 20153.04761904 with a remaining 1.6e-08.