We divide 555959 by 15
We're looking to find how many times 15 goes into 555959.

Moving on to step 1:
5 divided by 15 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 15

Let's proceed to step 2:
55 divided by 15 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 10 after subtracting 45 from 55.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 15

Let's proceed to step 3:
15 goes into 105 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Deduct 105 from 105 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 15

On to step 4:
9 divided by 15 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 370.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 15

Advancing to step 5:
95 divided by 15 is 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 3706.0
If we subtract 90 from 95, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 15

Step 6:
15 can be fit into 59 3 times, resulting in a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 37063.0
Subtracting 45 from 59 leaves us 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.

Let's proceed to step 7:
The number 15 fits into 140 9 times, leaving a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 37063.9
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 37063.93
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 37063.933
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 37063.933 and a remainder of 0.0005.