138278 divided by 17 
We're looking to find how many times 17 goes into 138278.

Moving on to step 1:
The number 17 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 17

Advancing to step 2:
The number 17 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 17

Step 3:
138 divided by 17 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 136 from 138 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 17

Let's proceed to step 4:
The number 17 fits into 22 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Subtract 17 from 22 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 17

Step 5:
17 can be fit into 57 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 813.0
Deduct 51 from 57 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 17

Going ahead to step 6:
When dividing 68 by 17, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 8134.0
Subtract 68 from 68 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
If we divide 0 by 17, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8134.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
17 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8134.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 8134.0, with a leftover of 0.0.