We look at the division of 441968 by 3 
We're looking to find how many times 3 goes into 441968.

Step 1:
3 goes into 4 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Going ahead to step 2:
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: 14.0
The remainder is 2 after subtracting 12 from 14.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Going ahead to step 3:
3 goes into 21 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
Deduct 21 from 21 and we're left with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Going ahead to step 4:
The number 3 fits into 9 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 1473.0
The remainder is 0 after subtracting 9 from 9.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

On to step 5:
6 divided by 3 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 14732.0
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

Moving on to step 6:
When dividing 8 by 3, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 147322.0
The remainder is 2 after subtracting 6 from 8.
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 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: 147322.6
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:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 147322.66
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 quotient of the division is 147322.66, and the remainder is 0.002.