We look at the division of 434441 by 21 
We're looking to find how many times 21 goes into 434441.

Let's proceed to step 1:
21 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 21

Advancing to step 2:
43 divided by 21 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 42 away from 43, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 21

Advancing to step 3:
When dividing 14 by 21, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 14, we get 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 21

On to step 4:
When dividing 144 by 21, we get 6 with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 206.0
The remainder is 18 after subtracting 126 from 144.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 21

Step 5:
If we divide 184 by 21, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 2068.0
Subtracting 168 from 184 leaves us with 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 21

Going ahead to step 6:
When dividing 161 by 21, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 20687.0
If we subtract 147 from 161, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
When dividing 140 by 21, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 20687.6
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
When dividing 140 by 21, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 20687.66
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 20687.66, with a leftover of 0.014.