We divide 415523 by 31
We want to divide 415523 by 31.

Advancing to step 1:
If we divide 4 by 31, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 31

Moving on 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 subtract 31 from 41, we get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 31

Let's proceed to step 3:
31 can be fit into 105 3 times, resulting in a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 93 away from 105, we end up with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 31

Let's proceed to step 4:
31 can be fit into 125 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
Deduct 124 from 125 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 31

On to step 5:
12 divided by 31 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 1340.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 31

On to step 6:
31 can be fit into 123 3 times, resulting in a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 13403.0
Subtract 93 from 123 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
31 goes into 300 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 13403.9
Subtract 279 from 300 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
210 divided by 31 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 13403.96
If we subtract 186 from 210, we 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.

Moving on to step 9:
31 goes into 240 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 13403.967
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.

Let's proceed to step 10:
31 can be fit into 230 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 13403.9677
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 13403.9677, and the remainder is 0.00013.