71681 ÷ 81 
We're looking to find how many times 81 goes into 71681.

Advancing to step 1:
81 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 81

Moving on to step 2:
If we divide 71 by 81, we get 0 and a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 81

On to step 3:
If we divide 716 by 81, we get 8 and a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 648 from 716 leaves us with 68.
Include the next digit (8) from the dividend after 68, then repeat: 688 / 81

Advancing to step 4:
688 divided by 81 is 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 88.0
The remainder is 40 after subtracting 648 from 688.
Grab the next digit (1) from the dividend, add it to 40, then carry on: 401 / 81

Let's proceed to step 5:
401 divided by 81 is 4 with a remainder of 77.
Write down 4 as next digit of the result. 
Result so far: 884.0
If we subtract 324 from 401, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 6:
81 goes into 770 9 times with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 884.9
Subtracting 729 from 770 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
The number 81 fits into 410 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 884.95
Subtracting 405 from 410 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
81 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 884.95
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 81 fits into 500 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 884.9506
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
If we divide 140 by 81, we get 1 and a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 884.95061
If we take 81 away from 140, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 11:
If we divide 590 by 81, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 884.950617
If we subtract 567 from 590, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 12:
81 goes into 230 2 times with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 884.9506172
The remainder is 68 after subtracting 162 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 13:
81 goes into 680 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 884.95061728
If we subtract 648 from 680, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 884.95061728, and the remainder is 3.2e-08.