Let's divide 14263 by 31
We're looking to find how many times 31 goes into 14263.

Let's proceed to step 1:
When dividing 1 by 31, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 31

Going ahead to step 2:
When dividing 14 by 31, we get 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 31

Moving on to step 3:
The number 31 fits into 142 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 124 from 142 to get 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 31

On to step 4:
When dividing 186 by 31, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
The remainder is 0 after subtracting 186 from 186.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 31

Let's proceed to step 5:
31 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 460.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
31 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 460.0
The remainder is 30 after subtracting 0 from 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 7:
The number 31 fits into 300 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 460.09
If we subtract 279 from 300, we 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.

Moving on to step 8:
When dividing 210 by 31, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 460.096
If we take 186 away from 210, we end up 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.

Moving on to step 9:
When dividing 240 by 31, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 460.0967
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.

Advancing to step 10:
230 divided by 31 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 460.09677
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.

The quotient of the division is 460.09677, and the remainder is 1.3e-05.