676938 ÷ 2 
Our goal is to divide 676938 by 2.

Let's proceed to step 1:
When dividing 6 by 2, we get 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 2

Going ahead to step 2:
7 divided by 2 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 6 from 7 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 2

Step 3:
16 divided by 2 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 338.0
Subtracting 16 from 16 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 2

On to step 4:
If we divide 9 by 2, we get 4 and a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 3384.0
Subtracting 8 from 9 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 2

Let's proceed to step 5:
2 can be fit into 13 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 33846.0
If we take 12 away from 13, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Going ahead to step 6:
If we divide 18 by 2, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 338469.0
If we take 18 away from 18, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
2 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 338469.0
Deduct 0 from 0 and we're left with 0.
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:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 338469.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 338469.0 with a remainder of 0.0.