121517 ÷ 96 
Our goal is to divide 121517 by 96.

Advancing to step 1:
96 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 96

Step 2:
When dividing 12 by 96, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 96

Advancing to step 3:
When dividing 121 by 96, we get 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 25 after subtracting 96 from 121.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 96

Moving on to step 4:
96 goes into 255 2 times with a remainder of 63.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 192 from 255 and we're left with 63.
Take the next digit (1) from the dividend and append it to 63, then repeat: 631 / 96

Let's proceed to step 5:
The number 96 fits into 631 6 times, leaving a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
Subtracting 576 from 631 leaves us with 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 96

Let's proceed to step 6:
557 divided by 96 is 5 with a remainder of 77.
Use 5 as the next digit of our solution. 
Result so far: 1265.0
The remainder is 77 after subtracting 480 from 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 7:
96 can be fit into 770 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 1265.8
Subtract 768 from 770 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 96, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1265.8
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
96 goes into 200 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1265.802
Subtract 192 from 200 to 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.

Let's proceed to step 10:
96 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1265.802
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 11:
800 divided by 96 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 1265.80208
If we take 768 away from 800, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
96 can be fit into 320 3 times, resulting in a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1265.802083
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
96 goes into 320 3 times with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 1265.8020833
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 1265.8020833 with a balance of 3.2e-07.