We divide 78871 by 30
Our goal is to divide 78871 by 30.

Let's proceed to step 1:
30 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 30

Step 2:
30 can be fit into 78 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 60 from 78 and we're left with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 30

Step 3:
30 can be fit into 188 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 180 from 188 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 30

Going ahead to step 4:
If we divide 87 by 30, we get 2 and a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 262.0
Subtracting 60 from 87 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 30

Advancing to step 5:
30 can be fit into 271 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 2629.0
Deduct 270 from 271 and we're left 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.

On to step 6:
30 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 2629.0
Subtracting 0 from 10 leaves us 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.

On to step 7:
If we divide 100 by 30, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 2629.03
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.

Advancing to step 8:
When dividing 100 by 30, we get 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 2629.033
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.

In conclusion, the division gives 2629.033 with a balance of 0.001.