We look at the division of 559614 by 86 
We're looking to find how many times 86 goes into 559614.

Moving on to step 1:
86 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 86

Step 2:
The number 86 fits into 55 0 times, leaving a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 86

Going ahead to step 3:
86 can be fit into 559 6 times, resulting in a remainder of 43.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 516 from 559 leaves us with 43.
Append the next digit (6) from the dividend to 43 and continue with: 436 / 86

Advancing to step 4:
436 divided by 86 is 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 430 from 436, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 86

Going ahead to step 5:
The number 86 fits into 61 0 times, leaving a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 650.0
Subtracting 0 from 61 leaves us with 61.
Take the next digit (4) from the dividend and append it to 61, then repeat: 614 / 86

Moving on to step 6:
If we divide 614 by 86, we get 7 and a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 6507.0
Subtracting 602 from 614 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
The number 86 fits into 120 1 times, leaving a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 6507.1
If we take 86 away from 120, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
86 goes into 340 3 times with a remainder of 82.
Record the quotient 3 as the next digit in the result. 
Result so far: 6507.13
If we subtract 258 from 340, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 9:
The number 86 fits into 820 9 times, leaving a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 6507.139
Subtracting 774 from 820 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 10:
If we divide 460 by 86, we get 5 and a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 6507.1395
If we take 430 away from 460, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
300 divided by 86 is 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 6507.13953
Subtract 258 from 300 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
86 can be fit into 420 4 times, resulting in a remainder of 76.
The number 4 becomes the next digit in our result. 
Result so far: 6507.139534
Subtracting 344 from 420 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 13:
The number 86 fits into 760 8 times, leaving a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 6507.1395348
Deduct 688 from 760 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 14:
The number 86 fits into 720 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 6507.13953488
The remainder is 32 after subtracting 688 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 6507.13953488 and a remainder of 3.2e-08.