87815 ÷ 80 
Our goal is to divide 87815 by 80.

Step 1:
The number 80 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 80

Let's proceed to step 2:
87 divided by 80 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 80 from 87, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 80

On to step 3:
80 can be fit into 78 0 times, resulting in a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 78 to get 78.
Bring next digit (1) of the dividend behind the 78 and repeat the process: 781 / 80

Let's proceed to step 4:
The number 80 fits into 781 9 times, leaving a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 109.0
The remainder is 61 after subtracting 720 from 781.
Grab the next digit (5) from the dividend, add it to 61, then carry on: 615 / 80

Step 5:
80 can be fit into 615 7 times, resulting in a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 1097.0
Deduct 560 from 615 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 6:
The number 80 fits into 550 6 times, leaving a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 1097.6
Subtracting 480 from 550 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 7:
If we divide 700 by 80, we get 8 and a remainder of 60.
The number 8 becomes the next digit in our result. 
Result so far: 1097.68
The remainder is 60 after subtracting 640 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
If we divide 600 by 80, we get 7 and a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 1097.687
Subtracting 560 from 600 leaves us 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.

Advancing to step 9:
400 divided by 80 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1097.6875
Subtract 400 from 400 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
80 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 1097.6875
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
80 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1097.6875
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 1097.6875 with a remaining 0.0.