We look at the division of 510443 by 31 
Our goal is to divide 510443 by 31.

Step 1:
When dividing 5 by 31, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 31

Moving on to step 2:
31 can be fit into 51 1 times, resulting in a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 31 from 51 to get 20.
Append the next digit (0) from the dividend to 20 and continue with: 200 / 31

Let's proceed to step 3:
31 can be fit into 200 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 186 from 200, we get 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 31

Moving on to step 4:
The number 31 fits into 144 4 times, leaving a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
The remainder is 20 after subtracting 124 from 144.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 31

On to step 5:
The number 31 fits into 204 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 1646.0
If we subtract 186 from 204, we get 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 31

Moving on to step 6:
183 divided by 31 is 5 with a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 16465.0
If we take 155 away from 183, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
31 can be fit into 280 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 16465.9
If we subtract 279 from 280, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
31 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 16465.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
100 divided by 31 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 16465.903
Deduct 93 from 100 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 31 fits into 70 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 16465.9032
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
31 goes into 80 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 16465.90322
If we subtract 62 from 80, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 16465.90322 with a remainder of 1.8e-05.