We're dividing 987176 by 81 
We're looking to find how many times 81 goes into 987176.

Step 1:
81 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 81

Moving on to step 2:
81 can be fit into 98 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 81 from 98 to get 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 81

Step 3:
If we divide 177 by 81, we get 2 and a remainder of 15.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 162 from 177 leaves us with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 81

Advancing to step 4:
81 goes into 151 1 times with a remainder of 70.
The next digit of our result is 1. 
Result so far: 121.0
Subtract 81 from 151 to get 70.
Include the next digit (7) from the dividend after 70, then repeat: 707 / 81

Step 5:
The number 81 fits into 707 8 times, leaving a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 1218.0
Subtract 648 from 707 to get 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 81

Moving on to step 6:
596 divided by 81 is 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 12187.0
If we take 567 away from 596, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
290 divided by 81 is 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 12187.3
Subtract 243 from 290 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 8:
When dividing 470 by 81, we get 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 12187.35
Deduct 405 from 470 and we're left 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 9:
650 divided by 81 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 12187.358
Subtracting 648 from 650 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 81, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 12187.358
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
If we divide 200 by 81, we get 2 and a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 12187.35802
If we take 162 away from 200, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
380 divided by 81 is 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 12187.358024
If we take 324 away from 380, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
81 can be fit into 560 6 times, resulting in a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 12187.3580246
Subtracting 486 from 560 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 14:
81 goes into 740 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 12187.35802469
If we take 729 away from 740, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 12187.35802469 with a balance of 1.1e-08.