681983 divided by 2 
We want to figure out the number of times 681983 can be divided by 2.

Let's proceed to step 1:
The number 2 fits into 6 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 6 from 6 leaves us with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 2

Going ahead to step 2:
If we divide 8 by 2, we get 4 and a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 0 after subtracting 8 from 8.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 2

Let's proceed to step 3:
2 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 340.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 2

Step 4:
The number 2 fits into 19 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 3409.0
Subtract 18 from 19 to get 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Moving on to step 5:
2 can be fit into 18 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 34099.0
If we take 18 away from 18, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 2

On to step 6:
If we divide 3 by 2, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 340991.0
Deduct 2 from 3 and we're left 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.

On to step 7:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 340991.5
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:
0 divided by 2 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 340991.5
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.

On to step 9:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 340991.5
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.

The final outcome is 340991.5, with a leftover of 0.0.