Let's divide 178871 by 15
We want to divide 178871 by 15.

Step 1:
1 divided by 15 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 15

Let's proceed to step 2:
When dividing 17 by 15, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 15 from 17 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 15

Let's proceed to step 3:
15 goes into 28 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 15 from 28 to get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 15

On to step 4:
15 goes into 138 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
If we subtract 135 from 138, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 15

Step 5:
When dividing 37 by 15, we get 2 with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 1192.0
If we take 30 away from 37, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 15

Let's proceed to step 6:
The number 15 fits into 71 4 times, leaving a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 11924.0
Subtract 60 from 71 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
When dividing 110 by 15, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 11924.7
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 11924.73
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 11924.733
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 11924.733 with a balance of 0.0005.