We look at the division of 137791 by 96 
We're looking to find how many times 96 goes into 137791.

Let's proceed to step 1:
If we divide 1 by 96, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 96

Going ahead to step 2:
13 divided by 96 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 96

On to step 3:
The number 96 fits into 137 1 times, leaving a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 96 from 137, we get 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 96

Moving on to step 4:
96 can be fit into 417 4 times, resulting in a remainder of 33.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 384 from 417, we get 33.
Bring next digit (9) of the dividend behind the 33 and repeat the process: 339 / 96

Advancing to step 5:
96 goes into 339 3 times with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 143.0
Subtract 288 from 339 to get 51.
Fetch the next digit (1) from the dividend, attach it to 51 and continue: 511 / 96

Advancing to step 6:
511 divided by 96 is 5 with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 1435.0
Subtracting 480 from 511 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
If we divide 310 by 96, we get 3 and a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 1435.3
If we take 288 away from 310, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
If we divide 220 by 96, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 1435.32
If we subtract 192 from 220, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
The number 96 fits into 280 2 times, leaving a remainder of 88.
The number 2 becomes the next digit in our result. 
Result so far: 1435.322
If we take 192 away from 280, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Our division results in 1435.322 with a remaining 0.0088.