We look at the division of 402686 by 3 
We want to figure out the number of times 402686 can be divided by 3.

Step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 3 from 4 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

On to step 2:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 9 from 10, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 3

Advancing to step 3:
The number 3 fits into 12 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 134.0
If we subtract 12 from 12, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Moving on to step 4:
3 goes into 6 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 1342.0
If we take 6 away from 6, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Let's proceed to step 5:
8 divided by 3 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 13422.0
If we subtract 6 from 8, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Going ahead to step 6:
If we divide 26 by 3, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 134228.0
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.

Advancing to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 134228.6
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.

Moving on to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 134228.66
Subtract 18 from 20 to 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.

Our division results in 134228.66 with a remaining 0.002.