821586 ÷ 81 
We want to divide 821586 by 81.

On to step 1:
81 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 81

Step 2:
The number 81 fits into 82 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 81 from 82, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 81

Step 3:
The number 81 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 81

Let's proceed to step 4:
81 can be fit into 115 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
If we take 81 away from 115, we end up with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 81

Moving on to step 5:
The number 81 fits into 348 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 1014.0
The remainder is 24 after subtracting 324 from 348.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 81

Let's proceed to step 6:
81 goes into 246 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 10143.0
Subtract 243 from 246 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 81 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 10143.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
When dividing 300 by 81, we get 3 with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 10143.03
The remainder is 57 after subtracting 243 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 9:
The number 81 fits into 570 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 10143.037
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
81 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 10143.037
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
If we divide 300 by 81, we get 3 and a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 10143.03703
Subtracting 243 from 300 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 12:
The number 81 fits into 570 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 10143.037037
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
81 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10143.037037
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
300 divided by 81 is 3 with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 10143.03703703
Subtracting 243 from 300 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 10143.03703703 with a remainder of 5.7e-08.