We look at the division of 114584 by 304 
Let's see how many times 304 fits into 114584.

Going ahead to step 1:
1 divided by 304 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 304

Going ahead to step 2:
304 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 304

Advancing to step 3:
The number 304 fits into 114 0 times, leaving a remainder of 114.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 114 after subtracting 0 from 114.
Take the next digit (5) from the dividend and append it to 114, then repeat: 1145 / 304

Going ahead to step 4:
304 can be fit into 1145 3 times, resulting in a remainder of 233.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 233 after subtracting 912 from 1145.
Grab the next digit (8) from the dividend, add it to 233, then carry on: 2338 / 304

Let's proceed to step 5:
When dividing 2338 by 304, we get 7 with a remainder of 210.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtract 2128 from 2338 to get 210.
Include the next digit (4) from the dividend after 210, then repeat: 2104 / 304

Step 6:
When dividing 2104 by 304, we get 6 with a remainder of 280.
Put 6 as the next digit of the answer. 
Result so far: 376.0
Deduct 1824 from 2104 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

On to step 7:
The number 304 fits into 2800 9 times, leaving a remainder of 64.
Record the quotient 9 as the next digit in the result. 
Result so far: 376.9
If we subtract 2736 from 2800, we 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.

Let's proceed to step 8:
The number 304 fits into 640 2 times, leaving a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 376.92
The remainder is 32 after subtracting 608 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
When dividing 320 by 304, we get 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 376.921
The remainder is 16 after subtracting 304 from 320.
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 10:
The number 304 fits into 160 0 times, leaving a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 376.921
Deduct 0 from 160 and we're left with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

On to step 11:
304 goes into 1600 5 times with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 376.92105
Subtract 1520 from 1600 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
800 divided by 304 is 2 with a remainder of 192.
Record the quotient 2 as the next digit in the result. 
Result so far: 376.921052
If we take 608 away from 800, we end up with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

On to step 13:
The number 304 fits into 1920 6 times, leaving a remainder of 96.
The number 6 becomes the next digit in our result. 
Result so far: 376.9210526
If we take 1824 away from 1920, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Going ahead to step 14:
960 divided by 304 is 3 with a remainder of 48.
Record the quotient 3 as the next digit in the result. 
Result so far: 376.92105263
If we take 912 away from 960, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 376.92105263 with a remainder of 4.8e-08.