We're dividing 532513 by 42 
Our goal is to divide 532513 by 42.

Moving on to step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 42

Step 2:
42 can be fit into 53 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 53 and we're left with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 42

On to step 3:
112 divided by 42 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 28 after subtracting 84 from 112.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 42

Going ahead to step 4:
42 can be fit into 285 6 times, resulting in a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
If we take 252 away from 285, we end up with 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 42

Moving on to step 5:
The number 42 fits into 331 7 times, leaving a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 1267.0
Subtract 294 from 331 to get 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 42

Step 6:
42 can be fit into 373 8 times, resulting in a remainder of 37.
The next digit of our result is 8. 
Result so far: 12678.0
Subtracting 336 from 373 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
The number 42 fits into 370 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 12678.8
Deduct 336 from 370 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
340 divided by 42 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 12678.88
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 12678.88 with a balance of 0.004.