We look at the division of 442523 by 3 
Let's see how many times 3 fits into 442523.

Step 1:
4 divided by 3 is 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 (4) from the dividend and append it to 1, then repeat: 14 / 3

Let's proceed to step 2:
14 divided by 3 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 12 away from 14, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Advancing to step 3:
When dividing 22 by 3, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 147.0
Subtract 21 from 22 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 3

Step 4:
3 goes into 15 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 1475.0
Deduct 15 from 15 and we're left with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Let's proceed to step 5:
2 divided by 3 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 14750.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Moving on to step 6:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 147507.0
Subtract 21 from 23 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.

Going ahead to step 7:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 147507.6
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.

Moving on to step 8:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 147507.66
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 147507.66 with a remainder of 0.002.