We're dividing 681805 by 2 
Let's see how many times 2 fits into 681805.

Going ahead to step 1:
When dividing 6 by 2, we get 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 0 after subtracting 6 from 6.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 2

Going ahead to step 2:
8 divided by 2 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 34.0
Deduct 8 from 8 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 2

Moving on to step 3:
If we divide 1 by 2, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 340.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Let's proceed to step 4:
If we divide 18 by 2, we get 9 and a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 3409.0
The remainder is 0 after subtracting 18 from 18.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 2

Advancing to step 5:
When dividing 0 by 2, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 34090.0
Deduct 0 from 0 and we're left with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 2

Step 6:
When dividing 5 by 2, we get 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 340902.0
Subtracting 4 from 5 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.

Moving on to step 7:
2 goes into 10 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 340902.5
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:
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: 340902.5
If we subtract 0 from 0, we 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:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 340902.5
Subtracting 0 from 0 leaves us 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 quotient of the division is 340902.5, and the remainder is 0.0.