821109 ÷ 81 
We want to divide 821109 by 81.

Advancing to step 1:
The number 81 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 81

On to step 2:
If we divide 82 by 81, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 81 from 82 leaves us with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 81

Let's proceed to step 3:
81 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 81

Let's proceed to step 4:
111 divided by 81 is 1 with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtracting 81 from 111 leaves us with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 81

On to step 5:
The number 81 fits into 300 3 times, leaving a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 1013.0
Deduct 243 from 300 and we're left with 57.
Include the next digit (9) from the dividend after 57, then repeat: 579 / 81

Step 6:
81 can be fit into 579 7 times, resulting in a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 10137.0
The remainder is 12 after subtracting 567 from 579.
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:
81 can be fit into 120 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 10137.1
Subtracting 81 from 120 leaves us 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.

Going ahead to step 8:
81 goes into 390 4 times with a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 10137.14
If we subtract 324 from 390, we 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.

Going ahead to step 9:
660 divided by 81 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 10137.148
Subtract 648 from 660 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
81 goes into 120 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10137.1481
If we subtract 81 from 120, we get 39.
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:
If we divide 390 by 81, we get 4 and a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 10137.14814
Deduct 324 from 390 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.

Moving on to step 12:
660 divided by 81 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 10137.148148
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.

Moving on to step 13:
81 can be fit into 120 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 10137.1481481
Subtract 81 from 120 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
If we divide 390 by 81, we get 4 and a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 10137.14814814
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.

The quotient of the division is 10137.14814814, and the remainder is 6.6e-08.