We look at the division of 396334 by 3 
Our goal is to divide 396334 by 3.

Moving on to step 1:
3 divided by 3 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Moving on to step 2:
3 can be fit into 9 3 times, resulting in a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we subtract 9 from 9, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 3

Going ahead to step 3:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 132.0
Subtract 6 from 6 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Let's proceed to step 4:
3 goes into 3 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1321.0
If we take 3 away from 3, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Advancing to step 5:
When dividing 3 by 3, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 13211.0
Deduct 3 from 3 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Moving on to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 132111.0
Deduct 3 from 4 and we're left 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.

Going ahead to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 132111.3
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.

Advancing to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 132111.33
If we take 9 away from 10, we end up 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.

The quotient of the division is 132111.33, and the remainder is 0.001.