We look at the division of 458303 by 31 
We want to divide 458303 by 31.

Let's proceed to step 1:
31 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 31

Advancing to step 2:
31 can be fit into 45 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 31 from 45 to get 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 31

Moving on to step 3:
31 can be fit into 148 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 24 after subtracting 124 from 148.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 31

Going ahead to step 4:
243 divided by 31 is 7 with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 147.0
If we take 217 away from 243, we end up with 26.
Grab the next digit (0) from the dividend, add it to 26, then carry on: 260 / 31

Step 5:
260 divided by 31 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1478.0
Deduct 248 from 260 and we're left with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 31

Moving on to step 6:
31 goes into 123 3 times with a remainder of 30.
The next digit of our result is 3. 
Result so far: 14783.0
The remainder is 30 after subtracting 93 from 123.
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:
31 can be fit into 300 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 14783.9
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.

On to step 8:
If we divide 210 by 31, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 14783.96
Subtracting 186 from 210 leaves us 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.

On to step 9:
240 divided by 31 is 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 14783.967
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.

Advancing to step 10:
The number 31 fits into 230 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 14783.9677
Deduct 217 from 230 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 14783.9677 and a remainder of 0.00013.