We look at the division of 145303 by 96 
We're looking to find how many times 96 goes into 145303.

On to step 1:
96 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 96

Step 2:
The number 96 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 96

Advancing to step 3:
96 goes into 145 1 times with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 49 after subtracting 96 from 145.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 96

Let's proceed to step 4:
If we divide 493 by 96, we get 5 and a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 480 away from 493, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 96

Going ahead to step 5:
When dividing 130 by 96, we get 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 151.0
If we subtract 96 from 130, we get 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 96

Moving on to step 6:
If we divide 343 by 96, we get 3 and a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 1513.0
If we subtract 288 from 343, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
The number 96 fits into 550 5 times, leaving a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 1513.5
If we subtract 480 from 550, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
If we divide 700 by 96, we get 7 and a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 1513.57
Deduct 672 from 700 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
When dividing 280 by 96, we get 2 with a remainder of 88.
The next digit of our result is 2. 
Result so far: 1513.572
If we subtract 192 from 280, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 10:
When dividing 880 by 96, we get 9 with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 1513.5729
Subtracting 864 from 880 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
When dividing 160 by 96, we get 1 with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 1513.57291
If we take 96 away from 160, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 12:
When dividing 640 by 96, we get 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 1513.572916
If we take 576 away from 640, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
When dividing 640 by 96, we get 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 1513.5729166
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 1513.5729166 with a remaining 6.4e-07.