816953 ÷ 21 
Our goal is to divide 816953 by 21.

Moving on to step 1:
When dividing 8 by 21, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 21

Let's proceed to step 2:
When dividing 81 by 21, we get 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 63 away from 81, we end up with 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 21

Step 3:
The number 21 fits into 186 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 38.0
The remainder is 18 after subtracting 168 from 186.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 21

Going ahead to step 4:
21 can be fit into 189 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 389.0
If we take 189 away from 189, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 21

Let's proceed to step 5:
When dividing 5 by 21, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 3890.0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 21

Step 6:
21 goes into 53 2 times with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 38902.0
Subtract 42 from 53 to get 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 7:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 38902.5
Deduct 105 from 110 and we're left 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.

Advancing to step 8:
50 divided by 21 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 38902.52
Subtract 42 from 50 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
If we divide 80 by 21, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 38902.523
Deduct 63 from 80 and we're left 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.

Step 10:
170 divided by 21 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 38902.5238
Subtracting 168 from 170 leaves us 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.

Moving on to step 11:
When dividing 20 by 21, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 38902.5238
Deduct 0 from 20 and we're left 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.

Moving on to step 12:
21 can be fit into 200 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 38902.523809
If we take 189 away from 200, we end up 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 13:
21 goes into 110 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 38902.5238095
Subtract 105 from 110 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
50 divided by 21 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 38902.52380952
Deduct 42 from 50 and we're left 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.

In conclusion, the division gives 38902.52380952 with a balance of 8e-09.