We look at the division of 421071 by 9 
We want to divide 421071 by 9.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 9

Advancing to step 2:
9 goes into 42 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 36 from 42 and we're left with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 9

On to step 3:
If we divide 61 by 9, we get 6 and a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 46.0
If we subtract 54 from 61, we get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 9

Let's proceed to step 4:
70 divided by 9 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 467.0
If we take 63 away from 70, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 9

Let's proceed to step 5:
77 divided by 9 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 4678.0
The remainder is 5 after subtracting 72 from 77.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 9

Moving on to step 6:
The number 9 fits into 51 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 46785.0
Subtract 45 from 51 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 46785.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 46785.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 46785.66 and a remainder of 0.006.