Let's divide 407963 by 3
Let's see how many times 3 fits into 407963.

Advancing to step 1:
3 goes into 4 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 3 from 4, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Advancing to step 2:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 9 from 10 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

On to step 3:
3 goes into 17 5 times with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 135.0
If we take 15 away from 17, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

On to step 4:
29 divided by 3 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 1359.0
Subtract 27 from 29 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Moving on to step 5:
3 goes into 26 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 13598.0
The remainder is 2 after subtracting 24 from 26.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

Advancing to step 6:
3 goes into 23 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 135987.0
Deduct 21 from 23 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.

On to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 135987.6
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.

Let's proceed to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 135987.66
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.

The final result is 135987.66 with a remainder of 0.002.