430003 ÷ 42 
Let's see how many times 42 fits into 430003.

Advancing to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 42

Let's proceed to step 2:
The number 42 fits into 43 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 43 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 42

Moving on to step 3:
42 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 42

Going ahead to step 4:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 102.0
If we subtract 84 from 100, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 42

Going ahead to step 5:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 1023.0
The remainder is 34 after subtracting 126 from 160.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 42

Moving on to step 6:
The number 42 fits into 343 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 10238.0
If we take 336 away from 343, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
42 goes into 70 1 times with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 10238.1
Subtract 42 from 70 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 10238.16
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
42 goes into 280 6 times with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 10238.166
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 10238.166 with a balance of 0.0028.