415253 divided by 31 
Our goal is to divide 415253 by 31.

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
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 31

On 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 take 31 away from 41, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 31

Step 3:
31 goes into 105 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtract 93 from 105 to get 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 31

Let's proceed to step 4:
31 can be fit into 122 3 times, resulting in a remainder of 29.
The next digit of our result is 3. 
Result so far: 133.0
If we subtract 93 from 122, we get 29.
Take the next digit (5) from the dividend and append it to 29, then repeat: 295 / 31

Step 5:
The number 31 fits into 295 9 times, leaving a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 1339.0
Subtracting 279 from 295 leaves us with 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 31

Moving on to step 6:
163 divided by 31 is 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 13395.0
The remainder is 8 after subtracting 155 from 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
80 divided by 31 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 13395.2
If we take 62 away from 80, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
31 goes into 180 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 13395.25
The remainder is 25 after subtracting 155 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
250 divided by 31 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 13395.258
Subtracting 248 from 250 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
20 divided by 31 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13395.258
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
When dividing 200 by 31, we get 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 13395.25806
The remainder is 14 after subtracting 186 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
If we divide 140 by 31, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 13395.258064
Subtracting 124 from 140 leaves us 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.

Moving on to step 13:
31 can be fit into 160 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 13395.2580645
If we take 155 away from 160, we end up with 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 14:
50 divided by 31 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 13395.25806451
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.

After the division, we end up with 13395.25806451 and a remainder of 1.9e-08.