We're dividing 556597 by 15 
Let's see how many times 15 fits into 556597.

Let's proceed to step 1:
The number 15 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 15

Step 2:
15 goes into 55 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 45 away from 55, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 15

Advancing to step 3:
106 divided by 15 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtract 105 from 106 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 15

Moving on to step 4:
The number 15 fits into 15 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 371.0
The remainder is 0 after subtracting 15 from 15.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 15

Let's proceed to step 5:
9 divided by 15 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 3710.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 15

On to step 6:
When dividing 97 by 15, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 37106.0
If we subtract 90 from 97, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
70 divided by 15 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 37106.4
If we subtract 60 from 70, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 37106.46
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
100 divided by 15 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 37106.466
Subtracting 90 from 100 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.

After the division, we end up with 37106.466 and a remainder of 0.001.