638559 ÷ 31 
We want to figure out the number of times 638559 can be divided by 31.

Going ahead to step 1:
6 divided by 31 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 31

On to step 2:
31 goes into 63 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 62 from 63 to get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 31

Step 3:
When dividing 18 by 31, we get 0 with a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtract 0 from 18 to get 18.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 31

Going ahead to step 4:
If we divide 185 by 31, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 205.0
Deduct 155 from 185 and we're left with 30.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 31

Moving on to step 5:
31 goes into 305 9 times with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 2059.0
Subtract 279 from 305 to get 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 31

Step 6:
If we divide 269 by 31, we get 8 and a remainder of 21.
The next digit of our result is 8. 
Result so far: 20598.0
The remainder is 21 after subtracting 248 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
If we divide 210 by 31, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 20598.6
Subtract 186 from 210 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
When dividing 240 by 31, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 20598.67
Subtract 217 from 240 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
31 can be fit into 230 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 20598.677
Subtract 217 from 230 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 20598.677 and a remainder of 0.0013.