162821 ÷ 11 
Our goal is to divide 162821 by 11.

Advancing to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 11

On to step 2:
If we divide 16 by 11, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 5 after subtracting 11 from 16.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 11

Step 3:
When dividing 52 by 11, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtracting 44 from 52 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 11

Advancing to step 4:
11 can be fit into 88 8 times, resulting in a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 148.0
If we take 88 away from 88, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 11

On to step 5:
When dividing 2 by 11, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 1480.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 11

Going ahead to step 6:
11 can be fit into 21 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 14801.0
The remainder is 10 after subtracting 11 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 14801.9
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 14801.9
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
11 goes into 100 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 14801.909
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 14801.909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 14801.90909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 14801.90909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
100 divided by 11 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 14801.9090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 14801.9090909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 14801.9090909, and the remainder is 1e-08.