We're dividing 121289 by 16 
Let's see how many times 16 fits into 121289.

Advancing to step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 16

On to step 2:
The number 16 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 16

Step 3:
If we divide 121 by 16, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 112 away from 121, we end up with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 16

On to step 4:
16 goes into 92 5 times with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtracting 80 from 92 leaves us with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 16

On to step 5:
The number 16 fits into 128 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 758.0
The remainder is 0 after subtracting 128 from 128.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 16

Advancing to step 6:
16 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 7580.0
If we take 0 away from 9, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
The number 16 fits into 90 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 7580.5
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7580.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
16 goes into 40 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 7580.562
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 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 7580.5625
Deduct 80 from 80 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.

Let's proceed to step 11:
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: 7580.5625
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.

Moving on to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7580.5625
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 7580.5625 with a remaining 0.0.