We look at the division of 17119 by 78 
We want to figure out the number of times 17119 can be divided by 78.

Moving on 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
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 78

Step 2:
78 can be fit into 17 0 times, resulting in a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 78

Step 3:
78 goes into 171 2 times with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 156 from 171 and we're left with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 78

Step 4:
The number 78 fits into 151 1 times, leaving a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we take 78 away from 151, we end up with 73.
Bring next digit (9) of the dividend behind the 73 and repeat the process: 739 / 78

Moving on to step 5:
78 goes into 739 9 times with a remainder of 37.
The next digit of our result is 9. 
Result so far: 219.0
If we take 702 away from 739, we end up 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 6:
The number 78 fits into 370 4 times, leaving a remainder of 58.
The next digit of our result is 4. 
Result so far: 219.4
If we subtract 312 from 370, 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 7:
When dividing 580 by 78, we get 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 219.47
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.

On to step 8:
78 goes into 340 4 times with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 219.474
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
78 can be fit into 280 3 times, resulting in a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 219.4743
The remainder is 46 after subtracting 234 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
460 divided by 78 is 5 with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 219.47435
Subtracting 390 from 460 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.

Step 11:
When dividing 700 by 78, we get 8 with a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 219.474358
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 12:
If we divide 760 by 78, we get 9 and a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 219.4743589
The remainder is 58 after subtracting 702 from 760.
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 13:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 219.47435897
Deduct 546 from 580 and we're left 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.

Our division results in 219.47435897 with a remaining 3.4e-08.