We're dividing 55583 by 15 
We're looking to find how many times 15 goes into 55583.

Moving on to step 1:
15 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 15

Let's proceed to step 2:
If we divide 55 by 15, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 10 after subtracting 45 from 55.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 15

Let's proceed to step 3:
When dividing 105 by 15, we get 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtract 105 from 105 to get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 15

On to step 4:
8 divided by 15 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 370.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 15

Moving on to step 5:
If we divide 83 by 15, we get 5 and a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 3705.0
The remainder is 8 after subtracting 75 from 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 6:
If we divide 80 by 15, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 3705.5
If we subtract 75 from 80, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3705.53
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 15 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 3705.533
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 3705.533 with a remaining 0.0005.