We look at the division of 553815 by 87 
We're looking to find how many times 87 goes into 553815.

Let's proceed to step 1:
The number 87 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 87

Moving on to step 2:
When dividing 55 by 87, we get 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 87

On to step 3:
87 goes into 553 6 times with a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 522 from 553, we get 31.
Bring next digit (8) of the dividend behind the 31 and repeat the process: 318 / 87

Advancing to step 4:
If we divide 318 by 87, we get 3 and a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtracting 261 from 318 leaves us with 57.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 87

Advancing to step 5:
87 goes into 571 6 times with a remainder of 49.
The next digit of our result is 6. 
Result so far: 636.0
Deduct 522 from 571 and we're left with 49.
Include the next digit (5) from the dividend after 49, then repeat: 495 / 87

Moving on to step 6:
The number 87 fits into 495 5 times, leaving a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 6365.0
If we subtract 435 from 495, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
600 divided by 87 is 6 with a remainder of 78.
The number 6 becomes the next digit in our result. 
Result so far: 6365.6
The remainder is 78 after subtracting 522 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 8:
87 goes into 780 8 times with a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 6365.68
Deduct 696 from 780 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 9:
87 can be fit into 840 9 times, resulting in a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 6365.689
Subtracting 783 from 840 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 10:
570 divided by 87 is 6 with a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 6365.6896
Subtract 522 from 570 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 11:
If we divide 480 by 87, we get 5 and a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 6365.68965
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.

Moving on to step 12:
If we divide 450 by 87, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 6365.689655
Subtract 435 from 450 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 6365.689655 with a remainder of 1.5e-06.