25533 ÷ 16 
Our goal is to divide 25533 by 16.

Advancing to step 1:
The number 16 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Moving on to step 2:
16 can be fit into 25 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 16 from 25 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 16

Moving on to step 3:
When dividing 95 by 16, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 15.0
If we take 80 away from 95, we end up with 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 16

Moving on to step 4:
When dividing 153 by 16, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 159.0
If we subtract 144 from 153, we get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 16

Let's proceed to step 5:
The number 16 fits into 93 5 times, leaving a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 1595.0
Deduct 80 from 93 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
16 goes into 130 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1595.8
If we take 128 away from 130, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
16 goes into 20 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1595.81
If we take 16 away from 20, we end up 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.

Going ahead to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1595.812
If we take 32 away from 40, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 1595.8125
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 1595.8125
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1595.8125
If we take 0 away from 0, we end up 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.

Our division results in 1595.8125 with a remaining 0.0.