We're dividing 4529 by 42 
We want to figure out the number of times 4529 can be divided by 42.

Step 1:
If we divide 4 by 42, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 42

Step 2:
If we divide 45 by 42, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 42 from 45 leaves us with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 42

Let's proceed to step 3:
The number 42 fits into 32 0 times, leaving a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 32, we end up with 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 42

Let's proceed to step 4:
329 divided by 42 is 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 107.0
The remainder is 35 after subtracting 294 from 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 5:
The number 42 fits into 350 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 107.8
Deduct 336 from 350 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 6:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 107.83
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 42, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 107.833
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 107.833 with a remainder of 0.0014.