We're dividing 558439 by 15 
We're looking to find how many times 15 goes into 558439.

Let's proceed to step 1:
5 divided by 15 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 15

Step 2:
15 can be fit into 55 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 45 from 55, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 15

Going ahead to step 3:
15 can be fit into 108 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we take 105 away from 108, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 15

Let's proceed to step 4:
15 goes into 34 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 372.0
The remainder is 4 after subtracting 30 from 34.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 15

Let's proceed to step 5:
15 goes into 43 2 times with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 3722.0
Subtract 30 from 43 to get 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 15

Let's proceed to step 6:
When dividing 139 by 15, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 37229.0
Subtracting 135 from 139 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
15 can be fit into 40 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 37229.2
If we take 30 away from 40, we end up 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 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 37229.26
If we take 90 away from 100, we end up 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.

On to step 9:
100 divided by 15 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 37229.266
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.

The quotient of the division is 37229.266, and the remainder is 0.001.