We look at the division of 361381 by 96 
Let's see how many times 96 fits into 361381.

Moving on to step 1:
The number 96 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 96

Step 2:
36 divided by 96 is 0 with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 96

Going ahead to step 3:
If we divide 361 by 96, we get 3 and a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 73 after subtracting 288 from 361.
Include the next digit (3) from the dividend after 73, then repeat: 733 / 96

Moving on to step 4:
When dividing 733 by 96, we get 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we take 672 away from 733, we end up with 61.
Grab the next digit (8) from the dividend, add it to 61, then carry on: 618 / 96

Advancing to step 5:
When dividing 618 by 96, we get 6 with a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 376.0
If we take 576 away from 618, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 96

Advancing to step 6:
If we divide 421 by 96, we get 4 and a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 3764.0
Subtracting 384 from 421 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
When dividing 370 by 96, we get 3 with a remainder of 82.
The number 3 becomes the next digit in our result. 
Result so far: 3764.3
Subtracting 288 from 370 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 8:
96 can be fit into 820 8 times, resulting in a remainder of 52.
The next digit of our result is 8. 
Result so far: 3764.38
Deduct 768 from 820 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
The number 96 fits into 520 5 times, leaving a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 3764.385
Deduct 480 from 520 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
The number 96 fits into 400 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 3764.3854
Subtracting 384 from 400 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.

Advancing to step 11:
When dividing 160 by 96, we get 1 with a remainder of 64.
The next digit of our result is 1. 
Result so far: 3764.38541
Subtract 96 from 160 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.

On to step 12:
96 can be fit into 640 6 times, resulting in a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 3764.385416
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.

On to step 13:
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: 3764.3854166
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.

The final result is 3764.3854166 with a remainder of 6.4e-07.