We divide 11914 by 797
We're looking to find how many times 797 goes into 11914.

Going ahead to step 1:
If we divide 1 by 797, we get 0 and 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.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 797

Moving on to step 2:
When dividing 11 by 797, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 797

Going ahead to step 3:
If we divide 119 by 797, we get 0 and a remainder of 119.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 119, we get 119.
Append the next digit (1) from the dividend to 119 and continue with: 1191 / 797

Let's proceed to step 4:
If we divide 1191 by 797, we get 1 and a remainder of 394.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 797 from 1191, we get 394.
Include the next digit (4) from the dividend after 394, then repeat: 3944 / 797

Step 5:
797 goes into 3944 4 times with a remainder of 756.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtracting 3188 from 3944 leaves us with 756.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7560, and continue the process.

Let's proceed to step 6:
797 can be fit into 7560 9 times, resulting in a remainder of 387.
The next digit of our result is 9. 
Result so far: 14.9
If we take 7173 away from 7560, we end up with 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3870, and continue the process.

Step 7:
When dividing 3870 by 797, we get 4 with a remainder of 682.
The number 4 becomes the next digit in our result. 
Result so far: 14.94
Deduct 3188 from 3870 and we're left with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Step 8:
6820 divided by 797 is 8 with a remainder of 444.
The number 8 becomes the next digit in our result. 
Result so far: 14.948
Subtract 6376 from 6820 to get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Let's proceed to step 9:
4440 divided by 797 is 5 with a remainder of 455.
Use 5 as the next digit of our solution. 
Result so far: 14.9485
Deduct 3985 from 4440 and we're left with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Going ahead to step 10:
The number 797 fits into 4550 5 times, leaving a remainder of 565.
The number 5 becomes the next digit in our result. 
Result so far: 14.94855
Deduct 3985 from 4550 and we're left with 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

After the division, we end up with 14.94855 and a remainder of 0.000565.