We look at the division of 433478 by 21 
Our goal is to divide 433478 by 21.

On to step 1:
4 divided by 21 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 21

Let's proceed to step 2:
21 goes into 43 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 42 from 43, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 21

On to step 3:
21 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 21

Moving on to step 4:
21 can be fit into 134 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 206.0
If we subtract 126 from 134, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 21

Step 5:
If we divide 87 by 21, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 2064.0
The remainder is 3 after subtracting 84 from 87.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 21

Advancing to step 6:
When dividing 38 by 21, we get 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 20641.0
The remainder is 17 after subtracting 21 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
21 goes into 170 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 20641.8
If we take 168 away from 170, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
21 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 20641.8
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
21 goes into 200 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 20641.809
If we take 189 away from 200, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 20641.8095
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
50 divided by 21 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 20641.80952
Subtracting 42 from 50 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
21 goes into 80 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 20641.809523
If we take 63 away from 80, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 13:
170 divided by 21 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 20641.8095238
If we subtract 168 from 170, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
When dividing 20 by 21, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 20641.8095238
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 20641.8095238, and the remainder is 2e-08.