135345 divided by 96 
We're looking to find how many times 96 goes into 135345.

Let's proceed to step 1:
When dividing 1 by 96, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 96

On to step 2:
96 goes into 13 0 times with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 96

Moving on to step 3:
When dividing 135 by 96, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 96 from 135 and we're left with 39.
Include the next digit (3) from the dividend after 39, then repeat: 393 / 96

Advancing to step 4:
The number 96 fits into 393 4 times, leaving a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 9 after subtracting 384 from 393.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 96

Going ahead to step 5:
96 can be fit into 94 0 times, resulting in a remainder of 94.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
Subtract 0 from 94 to get 94.
Take the next digit (5) from the dividend and append it to 94, then repeat: 945 / 96

Let's proceed to step 6:
945 divided by 96 is 9 with a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 1409.0
If we subtract 864 from 945, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 7:
96 can be fit into 810 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 1409.8
Subtract 768 from 810 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
If we divide 420 by 96, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 1409.84
If we subtract 384 from 420, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
The number 96 fits into 360 3 times, leaving a remainder of 72.
The number 3 becomes the next digit in our result. 
Result so far: 1409.843
Subtract 288 from 360 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 10:
When dividing 720 by 96, we get 7 with a remainder of 48.
Write down 7 as next digit of the result. 
Result so far: 1409.8437
If we subtract 672 from 720, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
96 can be fit into 480 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 1409.84375
The remainder is 0 after subtracting 480 from 480.
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 12:
96 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1409.84375
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.

Let's proceed to step 13:
96 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: 1409.84375
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 1409.84375 with a remaining 0.0.