310516 ÷ 3 
Let's see how many times 3 fits into 310516.

Going ahead to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

Advancing to step 2:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Step 3:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Subtract 9 from 10 to get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 3

Step 4:
3 goes into 15 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1035.0
The remainder is 0 after subtracting 15 from 15.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Going ahead to step 5:
When dividing 1 by 3, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10350.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Step 6:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 103505.0
Subtract 15 from 16 to 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.

Let's proceed to step 7:
3 goes into 10 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 103505.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 103505.33
Subtract 9 from 10 to 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.

Our division results in 103505.33 with a remaining 0.001.