We're dividing 135767 by 17 
We're looking to find how many times 17 goes into 135767.

Let's proceed to step 1:
17 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 17

Advancing to step 2:
When dividing 13 by 17, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 17

On to step 3:
17 goes into 135 7 times with a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 119 from 135 and we're left with 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 17

Advancing to step 4:
If we divide 167 by 17, we get 9 and a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 79.0
If we subtract 153 from 167, we get 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 17

Advancing to step 5:
146 divided by 17 is 8 with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 798.0
If we take 136 away from 146, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 17

Advancing to step 6:
17 can be fit into 107 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 7986.0
Subtract 102 from 107 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 17 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 7986.2
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
When dividing 160 by 17, we get 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 7986.29
Deduct 153 from 160 and we're left with 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 9:
If we divide 70 by 17, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 7986.294
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
17 can be fit into 20 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 7986.2941
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
30 divided by 17 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 7986.29411
If we take 17 away from 30, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 7986.29411 with a remainder of 1.3e-05.