87141 ÷ 81 
Let's see how many times 81 fits into 87141.

On to step 1:
81 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
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 / 81

On to step 2:
When dividing 87 by 81, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 81 from 87 and we're left with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 81

On to step 3:
The number 81 fits into 61 0 times, leaving a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 61 leaves us with 61.
Take the next digit (4) from the dividend and append it to 61, then repeat: 614 / 81

Moving on to step 4:
When dividing 614 by 81, we get 7 with a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
The remainder is 47 after subtracting 567 from 614.
Grab the next digit (1) from the dividend, add it to 47, then carry on: 471 / 81

Moving on to step 5:
81 goes into 471 5 times with a remainder of 66.
Use 5 as the next digit of our solution. 
Result so far: 1075.0
Deduct 405 from 471 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 6:
If we divide 660 by 81, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1075.8
Deduct 648 from 660 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
When dividing 120 by 81, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1075.81
The remainder is 39 after subtracting 81 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 8:
If we divide 390 by 81, we get 4 and a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 1075.814
The remainder is 66 after subtracting 324 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 9:
If we divide 660 by 81, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 1075.8148
If we take 648 away from 660, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
The number 81 fits into 120 1 times, leaving a remainder of 39.
The next digit of our result is 1. 
Result so far: 1075.81481
The remainder is 39 after subtracting 81 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 11:
390 divided by 81 is 4 with a remainder of 66.
The next digit of our result is 4. 
Result so far: 1075.814814
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
660 divided by 81 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1075.8148148
Deduct 648 from 660 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
120 divided by 81 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 1075.81481481
Deduct 81 from 120 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 1075.81481481, and the remainder is 3.9e-08.