565967 divided by 87 
We want to figure out the number of times 565967 can be divided by 87.

Advancing to step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 87

Let's proceed to step 2:
56 divided by 87 is 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 87

Advancing to step 3:
87 can be fit into 565 6 times, resulting in a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 522 from 565 leaves us with 43.
Grab the next digit (9) from the dividend, add it to 43, then carry on: 439 / 87

Going ahead to step 4:
The number 87 fits into 439 5 times, leaving a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 435 from 439, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 87

Let's proceed to step 5:
When dividing 46 by 87, we get 0 with a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 650.0
Subtract 0 from 46 to get 46.
Append the next digit (7) from the dividend to 46 and continue with: 467 / 87

On to step 6:
87 goes into 467 5 times with a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 6505.0
If we take 435 away from 467, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
320 divided by 87 is 3 with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 6505.3
The remainder is 59 after subtracting 261 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 8:
590 divided by 87 is 6 with a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 6505.36
Subtracting 522 from 590 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
87 can be fit into 680 7 times, resulting in a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 6505.367
Subtracting 609 from 680 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 10:
87 goes into 710 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 6505.3678
The remainder is 14 after subtracting 696 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
140 divided by 87 is 1 with a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 6505.36781
Deduct 87 from 140 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 12:
87 can be fit into 530 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6505.367816
Deduct 522 from 530 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
The number 87 fits into 80 0 times, leaving a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 6505.367816
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 14:
When dividing 800 by 87, we get 9 with a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 6505.36781609
If we take 783 away from 800, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 6505.36781609 with a balance of 1.7e-08.