We look at the division of 510537 by 6 
Our goal is to divide 510537 by 6.

Moving on to step 1:
6 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 6

Step 2:
51 divided by 6 is 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 3 after subtracting 48 from 51.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Moving on to step 3:
6 can be fit into 30 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Subtracting 30 from 30 leaves us with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 6

Step 4:
If we divide 5 by 6, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 850.0
If we take 0 away from 5, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Going ahead to step 5:
53 divided by 6 is 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 8508.0
Deduct 48 from 53 and we're left with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 6

Let's proceed to step 6:
57 divided by 6 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 85089.0
Subtracting 54 from 57 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 6 fits into 30 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 85089.5
The remainder is 0 after subtracting 30 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 6, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 85089.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 85089.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 85089.5 and a remainder of 0.0.