We look at the division of 555306 by 86 
Let's see how many times 86 fits into 555306.

On to step 1:
5 divided by 86 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 86

Moving on to step 2:
86 goes into 55 0 times with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Grab the next digit (5) from the dividend, add it to 55, then carry on: 555 / 86

Let's proceed to step 3:
86 goes into 555 6 times with a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 516 from 555 and we're left with 39.
Grab the next digit (3) from the dividend, add it to 39, then carry on: 393 / 86

Advancing to step 4:
If we divide 393 by 86, we get 4 and a remainder of 49.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
The remainder is 49 after subtracting 344 from 393.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 86

Advancing to step 5:
If we divide 490 by 86, we get 5 and a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 645.0
Deduct 430 from 490 and we're left with 60.
Take the next digit (6) from the dividend and append it to 60, then repeat: 606 / 86

Step 6:
If we divide 606 by 86, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 6457.0
The remainder is 4 after subtracting 602 from 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
If we divide 40 by 86, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6457.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
When dividing 400 by 86, we get 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 6457.04
Subtracting 344 from 400 leaves us with 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 9:
If we divide 560 by 86, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 6457.046
Subtract 516 from 560 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 10:
The number 86 fits into 440 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6457.0465
Subtracting 430 from 440 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 86 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 6457.04651
If we take 86 away from 100, we end up with 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 12:
If we divide 140 by 86, we get 1 and a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 6457.046511
Deduct 86 from 140 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 6457.046511 with a remainder of 5.4e-06.