663823 divided by 31 
Our goal is to divide 663823 by 31.

Advancing to step 1:
6 divided by 31 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 31

Let's proceed to step 2:
31 can be fit into 66 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 62 from 66 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 31

Step 3:
The number 31 fits into 43 1 times, leaving a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we take 31 away from 43, we end up with 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 31

Let's proceed to step 4:
128 divided by 31 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 214.0
Subtracting 124 from 128 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 31

Moving on to step 5:
If we divide 42 by 31, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 2141.0
Deduct 31 from 42 and we're left with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 31

Let's proceed to step 6:
When dividing 113 by 31, we get 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 21413.0
Subtract 93 from 113 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
The number 31 fits into 200 6 times, leaving a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 21413.6
Deduct 186 from 200 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
31 goes into 140 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 21413.64
If we subtract 124 from 140, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 31 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 21413.645
The remainder is 5 after subtracting 155 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
31 can be fit into 50 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 21413.6451
If we take 31 away from 50, 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.

Moving on to step 11:
If we divide 190 by 31, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 21413.64516
Deduct 186 from 190 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
31 can be fit into 40 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 21413.645161
Subtract 31 from 40 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.

Moving on to step 13:
If we divide 90 by 31, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 21413.6451612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
31 goes into 280 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 21413.64516129
The remainder is 1 after subtracting 279 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 21413.64516129 with a balance of 1e-09.