412905 divided by 31 
We're looking to find how many times 31 goes into 412905.

Going ahead to step 1:
4 divided by 31 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 31

Going ahead to step 2:
41 divided by 31 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 31 from 41, we get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 31

Going ahead to step 3:
When dividing 102 by 31, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 9 after subtracting 93 from 102.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 31

Advancing to step 4:
99 divided by 31 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 133.0
If we take 93 away from 99, we end up with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 31

Going ahead to step 5:
When dividing 60 by 31, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 1331.0
If we take 31 away from 60, we end up with 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 31

Step 6:
When dividing 295 by 31, we get 9 with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 13319.0
If we take 279 away from 295, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 31 fits into 160 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 13319.5
If we subtract 155 from 160, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
31 goes into 50 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 13319.51
If we take 31 away from 50, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 9:
31 goes into 190 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13319.516
If we take 186 away from 190, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 31, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 13319.5161
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
When dividing 90 by 31, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 13319.51612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
31 can be fit into 280 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 13319.516129
Subtracting 279 from 280 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 13319.516129
Subtract 0 from 10 to 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:
31 can be fit into 100 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 13319.51612903
Subtracting 93 from 100 leaves us 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 13319.51612903 with a balance of 7e-09.