We look at the division of 663413 by 31 
We want to figure out the number of times 663413 can be divided by 31.

Step 1:
31 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 31

Moving on to step 2:
31 goes into 66 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 62 from 66 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 31

On to step 3:
The number 31 fits into 43 1 times, leaving a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 21.0
Deduct 31 from 43 and we're left with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 31

Step 4:
31 goes into 124 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 214.0
Subtract 124 from 124 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 31

Advancing to step 5:
The number 31 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 2140.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 31

On to step 6:
31 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 21400.0
If we take 0 away from 13, we end up 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.

Advancing to step 7:
130 divided by 31 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 21400.4
The remainder is 6 after subtracting 124 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
If we divide 60 by 31, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 21400.41
The remainder is 29 after subtracting 31 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
31 can be fit into 290 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 21400.419
Subtracting 279 from 290 leaves us 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 10:
110 divided by 31 is 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 21400.4193
Subtract 93 from 110 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 11:
31 can be fit into 170 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 21400.41935
If we take 155 away from 170, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
The number 31 fits into 150 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 21400.419354
Deduct 124 from 150 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 13:
The number 31 fits into 260 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 21400.4193548
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
120 divided by 31 is 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 21400.41935483
Subtracting 93 from 120 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 21400.41935483 with a balance of 2.7e-08.