We're dividing 456742 by 21 
Our goal is to divide 456742 by 21.

Going ahead to step 1:
The number 21 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 21

Advancing to step 2:
The number 21 fits into 45 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 42 away from 45, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 21

On to step 3:
21 can be fit into 36 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 21 from 36 and we're left with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 21

Going ahead to step 4:
21 goes into 157 7 times with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 217.0
If we subtract 147 from 157, we get 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 21

Step 5:
If we divide 104 by 21, we get 4 and a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 2174.0
The remainder is 20 after subtracting 84 from 104.
Bring next digit (2) of the dividend behind the 20 and repeat the process: 202 / 21

Let's proceed to step 6:
21 goes into 202 9 times with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 21749.0
If we take 189 away from 202, 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.

On to step 7:
When dividing 130 by 21, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 21749.6
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 21, we get 1 and a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 21749.61
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.

Going ahead to step 9:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 21749.619
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.

Let's proceed to step 10:
If we divide 10 by 21, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21749.619
Subtract 0 from 10 to 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 11:
21 goes into 100 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 21749.61904
Subtract 84 from 100 to 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 12:
If we divide 160 by 21, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 21749.619047
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.

On to step 13:
The number 21 fits into 130 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 21749.6190476
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.

Moving on to step 14:
21 can be fit into 40 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 21749.61904761
Deduct 21 from 40 and we're left 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.

Our division results in 21749.61904761 with a remaining 1.9e-08.