We look at the division of 563364 by 87 
Our goal is to divide 563364 by 87.

Going ahead to step 1:
5 divided by 87 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 87

On to step 2:
56 divided by 87 is 0 with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 87

Step 3:
563 divided by 87 is 6 with a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 522 from 563 and we're left with 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 87

Step 4:
87 can be fit into 413 4 times, resulting in a remainder of 65.
Put 4 as the next digit of the answer. 
Result so far: 64.0
If we subtract 348 from 413, we get 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 87

Advancing to step 5:
87 goes into 656 7 times with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 647.0
Subtract 609 from 656 to get 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 87

Step 6:
87 goes into 474 5 times with a remainder of 39.
The next digit of our result is 5. 
Result so far: 6475.0
Subtract 435 from 474 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
If we divide 390 by 87, we get 4 and a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 6475.4
Deduct 348 from 390 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
420 divided by 87 is 4 with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 6475.44
Subtract 348 from 420 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 6475.44 with a remainder of 0.072.