We look at the division of 96871 by 30 
We want to figure out the number of times 96871 can be divided by 30.

Advancing to step 1:
30 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 30

Moving on to step 2:
30 can be fit into 96 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 6 after subtracting 90 from 96.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 30

Advancing to step 3:
If we divide 68 by 30, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 32.0
The remainder is 8 after subtracting 60 from 68.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 30

On to step 4:
30 goes into 87 2 times with a remainder of 27.
The next digit of our result is 2. 
Result so far: 322.0
If we subtract 60 from 87, we get 27.
Fetch the next digit (1) from the dividend, attach it to 27 and continue: 271 / 30

Let's proceed to step 5:
30 can be fit into 271 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 3229.0
If we take 270 away from 271, we end up 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.

Going ahead to step 6:
When dividing 10 by 30, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3229.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
100 divided by 30 is 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3229.03
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3229.033
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 3229.033, and the remainder is 0.001.