We look at the division of 783506 by 3 
Let's see how many times 3 fits into 783506.

Going ahead to step 1:
3 goes into 7 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 6 away from 7, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 3

Moving on to step 2:
18 divided by 3 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 26.0
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 / 3

Moving on to step 3:
If we divide 3 by 3, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
If we subtract 3 from 3, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

On to step 4:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 2611.0
If we take 3 away from 5, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Step 5:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 26116.0
The remainder is 2 after subtracting 18 from 20.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Going ahead to step 6:
If we divide 26 by 3, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 261168.0
If we subtract 24 from 26, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 261168.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 261168.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 261168.66, and the remainder is 0.002.