We divide 513087 by 87
We want to divide 513087 by 87.

On to step 1:
5 divided by 87 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 87

Let's proceed to step 2:
51 divided by 87 is 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 87

Moving on to step 3:
87 goes into 513 5 times with a remainder of 78.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 78 after subtracting 435 from 513.
Grab the next digit (0) from the dividend, add it to 78, then carry on: 780 / 87

Moving on to step 4:
780 divided by 87 is 8 with a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we subtract 696 from 780, we get 84.
Grab the next digit (8) from the dividend, add it to 84, then carry on: 848 / 87

Step 5:
848 divided by 87 is 9 with a remainder of 65.
Put 9 as the next digit of the answer. 
Result so far: 589.0
Deduct 783 from 848 and we're left with 65.
Include the next digit (7) from the dividend after 65, then repeat: 657 / 87

Step 6:
When dividing 657 by 87, we get 7 with a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 5897.0
If we take 609 away from 657, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
87 can be fit into 480 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 5897.5
Subtract 435 from 480 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
When dividing 450 by 87, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 5897.55
Subtracting 435 from 450 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 5897.55 with a balance of 0.015.