We divide 412262 by 31
We're looking to find how many times 31 goes into 412262.

Step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 31

Going ahead to step 2:
The number 31 fits into 41 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 31 away from 41, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 31

Step 3:
The number 31 fits into 102 3 times, leaving a remainder of 9.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 93 from 102 leaves us with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 31

Going ahead to step 4:
31 goes into 92 2 times with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 132.0
If we take 62 away from 92, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 31

Advancing to step 5:
31 can be fit into 306 9 times, resulting in a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 1329.0
Subtracting 279 from 306 leaves us with 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 31

Going ahead to step 6:
31 can be fit into 272 8 times, resulting in a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 13298.0
If we take 248 away from 272, we end up with 24.
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:
When dividing 240 by 31, we get 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 13298.7
If we subtract 217 from 240, we 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.

On to step 8:
230 divided by 31 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 13298.77
Subtracting 217 from 230 leaves us 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.

The final result is 13298.77 with a remainder of 0.013.