We look at the division of 918679 by 3 
We're looking to find how many times 3 goes into 918679.

Moving on to step 1:
If we divide 9 by 3, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 9 from 9 to get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Let's proceed to step 2:
If we divide 1 by 3, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 30.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 3

On to step 3:
3 goes into 18 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 306.0
Subtracting 18 from 18 leaves us with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 3

Going ahead to step 4:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 3062.0
The remainder is 0 after subtracting 6 from 6.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 5:
If we divide 7 by 3, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 30622.0
Subtracting 6 from 7 leaves us with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Step 6:
3 goes into 19 6 times with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 306226.0
Subtract 18 from 19 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:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 306226.3
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.

Going ahead 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: 306226.33
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 quotient of the division is 306226.33, and the remainder is 0.001.