683821 ÷ 21 
Our goal is to divide 683821 by 21.

Advancing to step 1:
If we divide 6 by 21, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 21

Step 2:
If we divide 68 by 21, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 5 after subtracting 63 from 68.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 21

Moving on to step 3:
53 divided by 21 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtracting 42 from 53 leaves us with 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 21

Step 4:
21 goes into 118 5 times with a remainder of 13.
The next digit of our result is 5. 
Result so far: 325.0
The remainder is 13 after subtracting 105 from 118.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 21

Moving on to step 5:
When dividing 132 by 21, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 3256.0
If we take 126 away from 132, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 21

Let's proceed to step 6:
21 goes into 61 2 times with a remainder of 19.
The next digit of our result is 2. 
Result so far: 32562.0
Deduct 42 from 61 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 21, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 32562.9
Deduct 189 from 190 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.

Let's proceed to step 8:
If we divide 10 by 21, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 32562.9
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 21 fits into 100 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 32562.904
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
160 divided by 21 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 32562.9047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
130 divided by 21 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 32562.90476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 21 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 32562.904761
If we take 21 away from 40, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 13:
When dividing 190 by 21, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 32562.9047619
If we take 189 away from 190, we end up 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 14:
If we divide 10 by 21, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32562.9047619
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.

The final outcome is 32562.9047619, with a leftover of 1e-08.