We look at the division of 114121 by 78 
We want to divide 114121 by 78.

Going ahead to step 1:
78 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 78

Moving on to step 2:
If we divide 11 by 78, we get 0 and 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.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 78

Moving on to step 3:
If we divide 114 by 78, we get 1 and a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 36 after subtracting 78 from 114.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 78

Step 4:
361 divided by 78 is 4 with a remainder of 49.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 312 from 361 leaves us with 49.
Append the next digit (2) from the dividend to 49 and continue with: 492 / 78

Going ahead to step 5:
The number 78 fits into 492 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 146.0
Subtracting 468 from 492 leaves us with 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 78

Moving on to step 6:
When dividing 241 by 78, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1463.0
If we subtract 234 from 241, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
70 divided by 78 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 1463.0
Subtracting 0 from 70 leaves us with 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:
78 goes into 700 8 times with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 1463.08
If we subtract 624 from 700, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 9:
760 divided by 78 is 9 with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 1463.089
Deduct 702 from 760 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
The number 78 fits into 580 7 times, leaving a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 1463.0897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
340 divided by 78 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1463.08974
If we subtract 312 from 340, 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.

Let's proceed to step 12:
When dividing 280 by 78, we get 3 with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 1463.089743
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
If we divide 460 by 78, we get 5 and a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 1463.0897435
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 14:
The number 78 fits into 700 8 times, leaving a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 1463.08974358
Subtract 624 from 700 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Our division results in 1463.08974358 with a remaining 7.6e-08.