We look at the division of 678610 by 3 
Let's see how many times 3 fits into 678610.

Moving on to step 1:
6 divided by 3 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 6 from 6 to get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

On to step 2:
If we divide 7 by 3, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtract 6 from 7 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

On to step 3:
If we divide 18 by 3, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 226.0
If we subtract 18 from 18, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Step 4:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2262.0
Deduct 6 from 6 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Moving on to step 5:
The number 3 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 22620.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Advancing to step 6:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 226203.0
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.

Advancing to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 226203.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 226203.33
Subtracting 9 from 10 leaves us 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.

The final result is 226203.33 with a remainder of 0.001.