565331 ÷ 87 
Let's see how many times 87 fits into 565331.

Going ahead to step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 87

Going ahead to step 2:
When dividing 56 by 87, we get 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 87

Going ahead to step 3:
When dividing 565 by 87, we get 6 with a remainder of 43.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 522 away from 565, we end up with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 87

On to step 4:
87 goes into 433 4 times with a remainder of 85.
The next digit of our result is 4. 
Result so far: 64.0
Deduct 348 from 433 and we're left with 85.
Grab the next digit (3) from the dividend, add it to 85, then carry on: 853 / 87

On to step 5:
If we divide 853 by 87, we get 9 and a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 649.0
If we take 783 away from 853, we end up with 70.
Grab the next digit (1) from the dividend, add it to 70, then carry on: 701 / 87

On to step 6:
701 divided by 87 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 6498.0
The remainder is 5 after subtracting 696 from 701.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 87 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6498.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
If we divide 500 by 87, we get 5 and a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 6498.05
Subtract 435 from 500 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 9:
650 divided by 87 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 6498.057
Subtracting 609 from 650 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 10:
87 can be fit into 410 4 times, resulting in a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 6498.0574
The remainder is 62 after subtracting 348 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
87 goes into 620 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 6498.05747
The remainder is 11 after subtracting 609 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
87 goes into 110 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 6498.057471
Subtract 87 from 110 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
The number 87 fits into 230 2 times, leaving a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 6498.0574712
Subtract 174 from 230 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 14:
87 can be fit into 560 6 times, resulting in a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 6498.05747126
If we subtract 522 from 560, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 6498.05747126 with a balance of 3.8e-08.