We look at the division of 78517 by 17 
We want to divide 78517 by 17.

Going ahead to step 1:
17 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 17

On to step 2:
78 divided by 17 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 68 from 78 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 17

On to step 3:
17 goes into 105 6 times with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
The remainder is 3 after subtracting 102 from 105.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 17

Going ahead to step 4:
When dividing 31 by 17, we get 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 461.0
Deduct 17 from 31 and we're left with 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 17

Going ahead to step 5:
When dividing 147 by 17, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 4618.0
The remainder is 11 after subtracting 136 from 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
17 goes into 110 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 4618.6
The remainder is 8 after subtracting 102 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
When dividing 80 by 17, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4618.64
If we take 68 away from 80, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
120 divided by 17 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 4618.647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 4618.647
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
17 goes into 100 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 4618.64705
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
150 divided by 17 is 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 4618.647058
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
140 divided by 17 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 4618.6470588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 4618.6470588 with a remaining 4e-08.