We look at the division of 414227 by 31 
We want to divide 414227 by 31.

Step 1:
The number 31 fits into 4 0 times, leaving 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 31

Let's proceed to step 2:
The number 31 fits into 41 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 10 after subtracting 31 from 41.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 31

Advancing to step 3:
The number 31 fits into 104 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 93 from 104 leaves us with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 31

Going ahead to step 4:
The number 31 fits into 112 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 133.0
Subtract 93 from 112 to get 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 31

Let's proceed to step 5:
If we divide 192 by 31, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 1336.0
Subtracting 186 from 192 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 31

Step 6:
31 goes into 67 2 times with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 13362.0
If we take 62 away from 67, 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.

Moving on to step 7:
50 divided by 31 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 13362.1
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.

On to step 8:
31 can be fit into 190 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 13362.16
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.

Advancing to step 9:
40 divided by 31 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 13362.161
Subtract 31 from 40 to get 9.
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 10:
31 goes into 90 2 times with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 13362.1612
Subtract 62 from 90 to get 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 11:
31 goes into 280 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 13362.16129
Deduct 279 from 280 and we're left 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.

Step 12:
When dividing 10 by 31, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 13362.16129
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
The number 31 fits into 100 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 13362.1612903
Subtract 93 from 100 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
31 can be fit into 70 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13362.16129032
The remainder is 8 after subtracting 62 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 13362.16129032, and the remainder is 8e-09.