We're dividing 871013 by 78 
We want to divide 871013 by 78.

Moving on to step 1:
78 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 78

Step 2:
When dividing 87 by 78, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 78 from 87, we get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 78

Let's proceed to step 3:
The number 78 fits into 91 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 11.0
If we take 78 away from 91, we end up with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 78

Let's proceed to step 4:
130 divided by 78 is 1 with a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
The remainder is 52 after subtracting 78 from 130.
Include the next digit (1) from the dividend after 52, then repeat: 521 / 78

Advancing to step 5:
The number 78 fits into 521 6 times, leaving a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 1116.0
The remainder is 53 after subtracting 468 from 521.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 78

Step 6:
The number 78 fits into 533 6 times, leaving a remainder of 65.
Record the quotient 6 as the next digit in the result. 
Result so far: 11166.0
Subtracting 468 from 533 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
The number 78 fits into 650 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 11166.8
Deduct 624 from 650 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
If we divide 260 by 78, we get 3 and a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 11166.83
Subtracting 234 from 260 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
If we divide 260 by 78, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 11166.833
If we take 234 away from 260, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 11166.833 with a remainder of 0.0026.