310076 ÷ 510 
We're looking to find how many times 510 goes into 310076.

Going ahead to step 1:
510 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 510

Let's proceed to step 2:
The number 510 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 510

Moving on to step 3:
If we divide 310 by 510, we get 0 and a remainder of 310.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 310 and we're left with 310.
Fetch the next digit (0) from the dividend, attach it to 310 and continue: 3100 / 510

Step 4:
510 can be fit into 3100 6 times, resulting in a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 3060 from 3100, we get 40.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 510

On to step 5:
If we divide 407 by 510, we get 0 and a remainder of 407.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtract 0 from 407 to get 407.
Grab the next digit (6) from the dividend, add it to 407, then carry on: 4076 / 510

Going ahead to step 6:
When dividing 4076 by 510, we get 7 with a remainder of 506.
Use 7 as the next digit of our solution. 
Result so far: 607.0
Subtract 3570 from 4076 to get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Step 7:
510 can be fit into 5060 9 times, resulting in a remainder of 470.
The next digit of our result is 9. 
Result so far: 607.9
Subtract 4590 from 5060 to get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Moving on to step 8:
The number 510 fits into 4700 9 times, leaving a remainder of 110.
The next digit of our result is 9. 
Result so far: 607.99
If we subtract 4590 from 4700, we get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Our division results in 607.99 with a remaining 0.11.