We're dividing 2584 by 17 
We want to figure out the number of times 2584 can be divided by 17.

Step 1:
17 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 17

Let's proceed to step 2:
17 goes into 25 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 17 from 25 to get 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 17

Moving on to step 3:
17 goes into 88 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 85 from 88, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 17

Moving on to step 4:
When dividing 34 by 17, we get 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 152.0
The remainder is 0 after subtracting 34 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 5:
If we divide 0 by 17, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 152.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
The number 17 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 152.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 152.0, and the remainder is 0.0.