We look at the division of 459871 by 9 
We want to divide 459871 by 9.

Let's proceed to step 1:
When dividing 4 by 9, we get 0 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.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 9

Step 2:
When dividing 45 by 9, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 45 from 45 to get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 9

Moving on to step 3:
If we divide 9 by 9, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Deduct 9 from 9 and we're left with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 9

On to step 4:
The number 9 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 510.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 9

Let's proceed to step 5:
When dividing 87 by 9, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 5109.0
Deduct 81 from 87 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 6:
When dividing 61 by 9, we get 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 51096.0
Deduct 54 from 61 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
9 goes into 70 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 51096.7
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
If we divide 70 by 9, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 51096.77
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 51096.77 and a remainder of 0.007.