413500 ÷ 31 
We want to divide 413500 by 31.

Let's proceed to step 1:
The number 31 fits into 4 0 times, leaving 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.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 31

Advancing to step 2:
31 goes into 41 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 31 from 41 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 31

On to step 3:
103 divided by 31 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 93 away from 103, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 31

On to step 4:
When dividing 105 by 31, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 133.0
If we take 93 away from 105, we end up with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 31

Let's proceed to step 5:
31 can be fit into 120 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 1333.0
If we subtract 93 from 120, we get 27.
Fetch the next digit (0) from the dividend, attach it to 27 and continue: 270 / 31

On to step 6:
31 can be fit into 270 8 times, resulting in a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 13338.0
Subtract 248 from 270 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
31 goes into 220 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 13338.7
Subtracting 217 from 220 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
30 divided by 31 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 13338.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
300 divided by 31 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 13338.709
Subtracting 279 from 300 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
210 divided by 31 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 13338.7096
Deduct 186 from 210 and we're left 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.

Going ahead to step 11:
If we divide 240 by 31, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 13338.70967
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.

Let's proceed to step 12:
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: 13338.709677
The remainder is 13 after subtracting 217 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 13338.709677 with a remaining 1.3e-06.