We look at the division of 663323 by 31 
We want to figure out the number of times 663323 can be divided by 31.

Advancing to step 1:
31 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 31

Going ahead to step 2:
31 goes into 66 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 62 away from 66, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 31

Advancing to step 3:
31 can be fit into 43 1 times, resulting in a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 21.0
If we take 31 away from 43, we end up with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 31

Moving on to step 4:
31 can be fit into 123 3 times, resulting in a remainder of 30.
The next digit of our result is 3. 
Result so far: 213.0
Deduct 93 from 123 and we're left with 30.
Append the next digit (2) from the dividend to 30 and continue with: 302 / 31

Advancing to step 5:
302 divided by 31 is 9 with a remainder of 23.
The next digit of our result is 9. 
Result so far: 2139.0
If we subtract 279 from 302, we get 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 31

Moving on to step 6:
If we divide 233 by 31, we get 7 and a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 21397.0
Subtract 217 from 233 to 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.

Moving on to step 7:
If we divide 160 by 31, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 21397.5
Subtracting 155 from 160 leaves us 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.

Let's proceed to step 8:
31 can be fit into 50 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 21397.51
If we subtract 31 from 50, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
The number 31 fits into 190 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 21397.516
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
40 divided by 31 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 21397.5161
Deduct 31 from 40 and we're left 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.

Step 11:
31 goes into 90 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 21397.51612
If we subtract 62 from 90, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
31 goes into 280 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 21397.516129
Subtract 279 from 280 to get 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 13:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21397.516129
If we subtract 0 from 10, we 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.

Let's proceed to step 14:
100 divided by 31 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 21397.51612903
If we take 93 away from 100, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 21397.51612903 with a balance of 7e-09.