8289 ÷ 16 
We're looking to find how many times 16 goes into 8289.

Step 1:
When dividing 8 by 16, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 16

Going ahead to step 2:
If we divide 82 by 16, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 80 from 82 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 16

Going ahead to step 3:
16 can be fit into 28 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtracting 16 from 28 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 16

Going ahead to step 4:
16 can be fit into 129 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 518.0
Deduct 128 from 129 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 5:
If we divide 10 by 16, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 518.0
Subtract 0 from 10 to get 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 6:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 518.06
Subtracting 96 from 100 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.

On to step 7:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 518.062
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 518.0625
Subtract 80 from 80 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 9:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 518.0625
If we subtract 0 from 0, we 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.

Step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 518.0625
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.

After the division, we end up with 518.0625 and a remainder of 0.0.