Let's divide 682046 by 3
Our goal is to divide 682046 by 3.

Going ahead to step 1:
The number 3 fits into 6 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 3

Going ahead to step 2:
If we divide 8 by 3, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 22.0
Subtract 6 from 8 to get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 3

Moving on to step 3:
3 goes into 22 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 227.0
The remainder is 1 after subtracting 21 from 22.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Moving on to step 4:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2273.0
If we subtract 9 from 10, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Let's proceed to step 5:
The number 3 fits into 14 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 22734.0
If we take 12 away from 14, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Let's proceed to step 6:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 227348.0
Subtracting 24 from 26 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.

Advancing to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 227348.6
If we subtract 18 from 20, 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.

Going ahead to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 227348.66
Deduct 18 from 20 and we're left 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 227348.66, and the remainder is 0.002.