414649 ÷ 31 
We're looking to find how many times 31 goes into 414649.

Let's proceed to step 1:
4 divided by 31 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 31

Let's proceed to step 2:
31 can be fit into 41 1 times, resulting in a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 31 from 41, we get 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 31

Moving on to step 3:
104 divided by 31 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 93 away from 104, we end up with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 31

On to step 4:
31 can be fit into 116 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 133.0
Subtract 93 from 116 to get 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 31

Moving on to step 5:
234 divided by 31 is 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 1337.0
Deduct 217 from 234 and we're left with 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 31

On to step 6:
31 goes into 179 5 times with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 13375.0
The remainder is 24 after subtracting 155 from 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
The number 31 fits into 240 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 13375.7
Subtracting 217 from 240 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
When dividing 230 by 31, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 13375.77
If we subtract 217 from 230, we 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.

The quotient of the division is 13375.77, and the remainder is 0.013.