135178 ÷ 17 
Let's see how many times 17 fits into 135178.

Going ahead to step 1:
17 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 17

Step 2:
17 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 17

Advancing to step 3:
17 goes into 135 7 times with a remainder of 16.
The next digit of our result is 7. 
Result so far: 7.0
If we take 119 away from 135, we end up with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 17

On to step 4:
17 can be fit into 161 9 times, resulting in a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 79.0
The remainder is 8 after subtracting 153 from 161.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 17

Let's proceed to step 5:
17 goes into 87 5 times with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 795.0
If we take 85 away from 87, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 17

Advancing to step 6:
28 divided by 17 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 7951.0
Subtract 17 from 28 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
110 divided by 17 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 7951.6
If we take 102 away from 110, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 17 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 7951.64
Deduct 68 from 80 and we're left 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.

Advancing to step 9:
If we divide 120 by 17, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 7951.647
The remainder is 1 after subtracting 119 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
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: 7951.647
Subtracting 0 from 10 leaves us 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 11:
17 goes into 100 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 7951.64705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
If we divide 150 by 17, we get 8 and a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 7951.647058
Subtracting 136 from 150 leaves us 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 13:
When dividing 140 by 17, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 7951.6470588
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.

The final result is 7951.6470588 with a remainder of 4e-08.