515587 divided by 42 
We're looking to find how many times 42 goes into 515587.

Moving on to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 42

Moving on to step 2:
51 divided by 42 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 42 from 51, we get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 42

Let's proceed to step 3:
95 divided by 42 is 2 with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 84 from 95, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 42

Going ahead to step 4:
42 goes into 115 2 times with a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 122.0
If we subtract 84 from 115, we get 31.
Bring next digit (8) of the dividend behind the 31 and repeat the process: 318 / 42

Let's proceed to step 5:
If we divide 318 by 42, we get 7 and a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 1227.0
If we subtract 294 from 318, we get 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 42

Advancing to step 6:
The number 42 fits into 247 5 times, leaving a remainder of 37.
The number 5 becomes the next digit in our result. 
Result so far: 12275.0
Subtracting 210 from 247 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.

Going ahead to step 7:
If we divide 370 by 42, we get 8 and a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 12275.8
Subtract 336 from 370 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 12275.88
Subtracting 336 from 340 leaves us with 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 12275.88 with a balance of 0.004.