We're dividing 442903 by 3 
Let's see how many times 3 fits into 442903.

On to step 1:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 3 away from 4, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

On to step 2:
The number 3 fits into 14 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 12 from 14, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Let's proceed to step 3:
22 divided by 3 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
The remainder is 1 after subtracting 21 from 22.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Let's proceed to step 4:
If we divide 19 by 3, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 1476.0
Subtract 18 from 19 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Moving on to step 5:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 14763.0
Deduct 9 from 10 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

On to step 6:
The number 3 fits into 13 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 147634.0
If we subtract 12 from 13, 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.

On to step 7:
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: 147634.3
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.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 147634.33
Deduct 9 from 10 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.

The final outcome is 147634.33, with a leftover of 0.001.