We divide 278109 by 17
We're looking to find how many times 17 goes into 278109.

Step 1:
2 divided by 17 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 17

Step 2:
17 goes into 27 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 17 from 27 to get 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 17

On to step 3:
If we divide 108 by 17, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 102 away from 108, we end up with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 17

On to step 4:
The number 17 fits into 61 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 163.0
Subtract 51 from 61 to get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 17

Going ahead to step 5:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 1635.0
Deduct 85 from 100 and we're left with 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 17

Advancing to step 6:
17 goes into 159 9 times with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 16359.0
If we subtract 153 from 159, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 17 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 16359.3
Subtract 51 from 60 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
90 divided by 17 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 16359.35
Subtract 85 from 90 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.

Going ahead to step 9:
If we divide 50 by 17, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 16359.352
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.

Advancing to step 10:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 16359.3529
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.

Moving on to step 11:
If we divide 70 by 17, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 16359.35294
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
17 goes into 20 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 16359.352941
Subtract 17 from 20 to 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.

Let's proceed to step 13:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 16359.3529411
Subtracting 17 from 30 leaves us 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.

After the division, we end up with 16359.3529411 and a remainder of 1.3e-07.