We're dividing 678635 by 2 
Our goal is to divide 678635 by 2.

On to step 1:
The number 2 fits into 6 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 6 from 6 to get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 2

Advancing to step 2:
2 can be fit into 7 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtracting 6 from 7 leaves us with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Advancing to step 3:
2 goes into 18 9 times with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 339.0
If we take 18 away from 18, we end up with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 2

Step 4:
If we divide 6 by 2, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 3393.0
Deduct 6 from 6 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 2

Let's proceed to step 5:
When dividing 3 by 2, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 33931.0
If we subtract 2 from 3, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Advancing to step 6:
15 divided by 2 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 339317.0
If we subtract 14 from 15, we 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:
2 goes into 10 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 339317.5
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 339317.5
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.

Moving on to step 9:
If we divide 0 by 2, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 339317.5
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.

After the division, we end up with 339317.5 and a remainder of 0.0.