682118 ÷ 21 
We want to figure out the number of times 682118 can be divided by 21.

Going ahead to step 1:
6 divided by 21 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 21

On to step 2:
When dividing 68 by 21, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 63 from 68 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 21

Let's proceed to step 3:
The number 21 fits into 52 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 32.0
If we subtract 42 from 52, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 21

Advancing to step 4:
21 can be fit into 101 4 times, resulting in a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 324.0
Subtract 84 from 101 to get 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 21

Step 5:
21 goes into 171 8 times with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 3248.0
If we take 168 away from 171, we end up with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 21

On to step 6:
38 divided by 21 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 32481.0
The remainder is 17 after subtracting 21 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
The number 21 fits into 170 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 32481.8
If we take 168 away from 170, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
If we divide 20 by 21, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 32481.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
If we divide 200 by 21, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 32481.809
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
If we divide 110 by 21, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 32481.8095
If we take 105 away from 110, we end up 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.

Step 11:
50 divided by 21 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 32481.80952
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
When dividing 80 by 21, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 32481.809523
Subtracting 63 from 80 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 13:
The number 21 fits into 170 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 32481.8095238
Deduct 168 from 170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
When dividing 20 by 21, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 32481.8095238
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 32481.8095238, and the remainder is 2e-08.