Let's divide 416221 by 21
We're looking to find how many times 21 goes into 416221.

Let's proceed to 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
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 21

Going ahead to step 2:
The number 21 fits into 41 1 times, leaving a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 21 from 41, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 21

Step 3:
When dividing 206 by 21, we get 9 with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 189 from 206 to get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 21

Going ahead to step 4:
The number 21 fits into 172 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 198.0
Subtract 168 from 172 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 21

Moving on to step 5:
42 divided by 21 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1982.0
Subtract 42 from 42 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 21

On to step 6:
If we divide 1 by 21, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 19820.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 21, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 19820.0
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.

Advancing to step 8:
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: 19820.04
Deduct 84 from 100 and we're left 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.

Moving on to step 9:
21 goes into 160 7 times with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 19820.047
If we take 147 away from 160, we end up 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.

Let's proceed 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: 19820.0476
If we take 126 away from 130, we end up 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.

Going ahead to step 11:
40 divided by 21 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 19820.04761
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.

Advancing to step 12:
21 goes into 190 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 19820.047619
If we take 189 away from 190, we end up 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.

Going ahead to step 13:
10 divided by 21 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 19820.047619
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
100 divided by 21 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 19820.04761904
Deduct 84 from 100 and we're left 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.

After the division, we end up with 19820.04761904 and a remainder of 1.6e-08.