We're dividing 781981 by 3 
We want to figure out the number of times 781981 can be divided by 3.

Let's proceed to step 1:
7 divided by 3 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 1 after subtracting 6 from 7.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

On to step 2:
The number 3 fits into 18 6 times, leaving a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 26.0
The remainder is 0 after subtracting 18 from 18.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Going ahead to step 3:
When dividing 1 by 3, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 260.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Going ahead to step 4:
3 can be fit into 19 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 2606.0
If we subtract 18 from 19, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 3

Let's proceed to step 5:
3 can be fit into 18 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 26066.0
If we subtract 18 from 18, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

Let's proceed to step 6:
If we divide 1 by 3, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 260660.0
Subtracting 0 from 1 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:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 260660.3
If we subtract 9 from 10, 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.

Moving on to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 260660.33
Subtracting 9 from 10 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.

After the division, we end up with 260660.33 and a remainder of 0.001.