Let's divide 631641 by 21
Our goal is to divide 631641 by 21.

Moving on to step 1:
6 divided by 21 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 21

On to step 2:
21 can be fit into 63 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
If we take 63 away from 63, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 21

On to step 3:
21 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 30.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 21

On to step 4:
The number 21 fits into 16 0 times, leaving a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 300.0
The remainder is 16 after subtracting 0 from 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 21

Step 5:
21 goes into 164 7 times with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 3007.0
Subtract 147 from 164 to get 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 21

Going ahead to step 6:
21 goes into 171 8 times with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 30078.0
Subtracting 168 from 171 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 21 fits into 30 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 30078.1
Subtracting 21 from 30 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
When dividing 90 by 21, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 30078.14
If we take 84 away from 90, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
60 divided by 21 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 30078.142
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
The number 21 fits into 180 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 30078.1428
Deduct 168 from 180 and we're left 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 11:
21 goes into 120 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 30078.14285
Subtract 105 from 120 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
When dividing 150 by 21, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 30078.142857
If we subtract 147 from 150, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
If we divide 30 by 21, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 30078.1428571
Subtract 21 from 30 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
If we divide 90 by 21, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 30078.14285714
Subtract 84 from 90 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 30078.14285714 with a balance of 6e-09.