We're dividing 756709 by 2 
We want to divide 756709 by 2.

Step 1:
When dividing 7 by 2, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 6 from 7, we get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 2

Let's proceed to step 2:
15 divided by 2 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 37.0
If we subtract 14 from 15, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 2

Moving on to step 3:
2 goes into 16 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 378.0
If we subtract 16 from 16, we get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 2

Step 4:
2 goes into 7 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3783.0
Deduct 6 from 7 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 2

Step 5:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 37835.0
If we subtract 10 from 10, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 2

On to step 6:
2 can be fit into 9 4 times, resulting in a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 378354.0
The remainder is 1 after subtracting 8 from 9.
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:
10 divided by 2 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 378354.5
Subtract 10 from 10 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 378354.5
Subtract 0 from 0 to get 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 9:
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: 378354.5
The remainder is 0 after subtracting 0 from 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 378354.5 and a remainder of 0.0.