We look at the division of 513618 by 87 
Our goal is to divide 513618 by 87.

On to step 1:
87 goes into 5 0 times with 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.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 87

Step 2:
87 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (3) from the dividend, add it to 51, then carry on: 513 / 87

Going ahead to step 3:
The number 87 fits into 513 5 times, leaving a remainder of 78.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 435 from 513 and we're left with 78.
Append the next digit (6) from the dividend to 78 and continue with: 786 / 87

Moving on to step 4:
When dividing 786 by 87, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 59.0
Deduct 783 from 786 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 87

Moving on to step 5:
When dividing 31 by 87, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 590.0
Subtracting 0 from 31 leaves us with 31.
Take the next digit (8) from the dividend and append it to 31, then repeat: 318 / 87

Going ahead to step 6:
If we divide 318 by 87, we get 3 and a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 5903.0
Subtract 261 from 318 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
87 goes into 570 6 times with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 5903.6
If we take 522 away from 570, 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.

Going ahead to step 8:
480 divided by 87 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 5903.65
If we subtract 435 from 480, we 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 9:
450 divided by 87 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 5903.655
The remainder is 15 after subtracting 435 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 5903.655 with a remaining 0.0015.