We look at the division of 13584 by 75 
Our goal is to divide 13584 by 75.

Going ahead to step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 75

Step 2:
13 divided by 75 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 75

Advancing to step 3:
75 goes into 135 1 times with a remainder of 60.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 60 after subtracting 75 from 135.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 75

Step 4:
When dividing 608 by 75, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtract 600 from 608 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 75

On to step 5:
75 goes into 84 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 181.0
Subtract 75 from 84 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 6:
If we divide 90 by 75, we get 1 and a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 181.1
The remainder is 15 after subtracting 75 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
If we divide 150 by 75, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 181.12
Deduct 150 from 150 and we're left 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.

On to step 8:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 181.12
Deduct 0 from 0 and we're left 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.

Moving on to step 9:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 181.12
Deduct 0 from 0 and we're left 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.

After the division, we end up with 181.12 and a remainder of 0.0.