87601 ÷ 81 
We want to divide 87601 by 81.

Step 1:
If we divide 8 by 81, we get 0 and a remainder of 8.
The next digit of our result is 0. 
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 / 81

Step 2:
81 can be fit into 87 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 81 from 87 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 81

On to step 3:
If we divide 66 by 81, we get 0 and a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 66, we get 66.
Fetch the next digit (0) from the dividend, attach it to 66 and continue: 660 / 81

Step 4:
If we divide 660 by 81, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we subtract 648 from 660, we get 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 81

Going ahead to step 5:
81 can be fit into 121 1 times, resulting in a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 1081.0
If we subtract 81 from 121, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
81 goes into 400 4 times with a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 1081.4
The remainder is 76 after subtracting 324 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 7:
If we divide 760 by 81, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 1081.49
If we take 729 away from 760, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
When dividing 310 by 81, we get 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 1081.493
Subtract 243 from 310 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
The number 81 fits into 670 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1081.4938
If we take 648 away from 670, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
The number 81 fits into 220 2 times, leaving a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 1081.49382
Deduct 162 from 220 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
81 can be fit into 580 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 1081.493827
The remainder is 13 after subtracting 567 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 12:
130 divided by 81 is 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 1081.4938271
The remainder is 49 after subtracting 81 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 13:
81 goes into 490 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 1081.49382716
The remainder is 4 after subtracting 486 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 1081.49382716 and a remainder of 4e-09.