We look at the division of 559094 by 87 
We're looking to find how many times 87 goes into 559094.

Moving on 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
Subtracting 0 from 5 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 87

On to step 2:
If we divide 55 by 87, we get 0 and a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 87

Let's proceed to step 3:
87 goes into 559 6 times with a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 522 from 559 and we're left with 37.
Append the next digit (0) from the dividend to 37 and continue with: 370 / 87

Moving on to step 4:
If we divide 370 by 87, we get 4 and a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 64.0
The remainder is 22 after subtracting 348 from 370.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 87

Advancing to step 5:
87 goes into 229 2 times with a remainder of 55.
Put 2 as the next digit of the answer. 
Result so far: 642.0
If we take 174 away from 229, we end up with 55.
Include the next digit (4) from the dividend after 55, then repeat: 554 / 87

Let's proceed to step 6:
The number 87 fits into 554 6 times, leaving a remainder of 32.
The next digit of our result is 6. 
Result so far: 6426.0
If we subtract 522 from 554, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
87 goes into 320 3 times with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 6426.3
If we subtract 261 from 320, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 8:
The number 87 fits into 590 6 times, leaving a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 6426.36
If we subtract 522 from 590, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
When dividing 680 by 87, we get 7 with a remainder of 71.
The next digit of our result is 7. 
Result so far: 6426.367
If we subtract 609 from 680, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 10:
If we divide 710 by 87, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 6426.3678
Subtract 696 from 710 to get 14.
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.
Write down 1 as next digit of the result. 
Result so far: 6426.36781
If we take 87 away from 140, we end up 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 next digit of our result is 6. 
Result so far: 6426.367816
Subtract 522 from 530 to get 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:
When dividing 80 by 87, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6426.367816
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 14:
The number 87 fits into 800 9 times, leaving a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 6426.36781609
Subtracting 783 from 800 leaves us 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.

The final result is 6426.36781609 with a remainder of 1.7e-08.