Let's divide 14593 by 78
Our goal is to divide 14593 by 78.

On to step 1:
The number 78 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 78

Moving on to step 2:
If we divide 14 by 78, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 78

On to step 3:
78 can be fit into 145 1 times, resulting in a remainder of 67.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 78 from 145, we get 67.
Fetch the next digit (9) from the dividend, attach it to 67 and continue: 679 / 78

Step 4:
679 divided by 78 is 8 with a remainder of 55.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Deduct 624 from 679 and we're left with 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 78

Going ahead to step 5:
553 divided by 78 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 187.0
If we subtract 546 from 553, 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.

Step 6:
The number 78 fits into 70 0 times, leaving a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 187.0
If we take 0 away from 70, we end up 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.

Advancing to step 7:
When dividing 700 by 78, we get 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 187.08
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.

Let's proceed to step 8:
760 divided by 78 is 9 with a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 187.089
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
78 goes into 580 7 times with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 187.0897
If we subtract 546 from 580, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
340 divided by 78 is 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 187.08974
The remainder is 28 after subtracting 312 from 340.
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 11:
78 can be fit into 280 3 times, resulting in a remainder of 46.
The next digit of our result is 3. 
Result so far: 187.089743
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.

On to step 12:
78 goes into 460 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 187.0897435
If we take 390 away from 460, we end up 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.

Advancing to step 13:
700 divided by 78 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 187.08974358
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.

Our division results in 187.08974358 with a remaining 7.6e-08.