Let's divide 875827 by 78
Our goal is to divide 875827 by 78.

Moving on to step 1:
If we divide 8 by 78, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 78

Step 2:
87 divided by 78 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 9 after subtracting 78 from 87.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 78

Advancing to step 3:
When dividing 95 by 78, we get 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 17 after subtracting 78 from 95.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 78

Advancing to step 4:
78 can be fit into 178 2 times, resulting in a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Subtract 156 from 178 to get 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 78

Step 5:
If we divide 222 by 78, we get 2 and a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 1122.0
Subtracting 156 from 222 leaves us with 66.
Bring next digit (7) of the dividend behind the 66 and repeat the process: 667 / 78

Advancing to step 6:
78 can be fit into 667 8 times, resulting in a remainder of 43.
The next digit of our result is 8. 
Result so far: 11228.0
Subtracting 624 from 667 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
78 can be fit into 430 5 times, resulting in a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 11228.5
If we take 390 away from 430, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 78 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 11228.55
If we take 390 away from 400, 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.

In conclusion, the division gives 11228.55 with a balance of 0.01.