We're dividing 103638 by 17 
Let's see how many times 17 fits into 103638.

Step 1:
17 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 17

On to step 2:
If we divide 10 by 17, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 17

Step 3:
103 divided by 17 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 102 away from 103, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 17

Step 4:
When dividing 16 by 17, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtract 0 from 16 to get 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 17

On to step 5:
17 can be fit into 163 9 times, resulting in a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 609.0
If we subtract 153 from 163, we get 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 17

Moving on to step 6:
17 can be fit into 108 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6096.0
If we subtract 102 from 108, 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.

Going ahead to step 7:
17 goes into 60 3 times with a remainder of 9.
The next digit of our result is 3. 
Result so far: 6096.3
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
17 can be fit into 90 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 6096.35
Subtracting 85 from 90 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 17 fits into 50 2 times, leaving a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 6096.352
Subtract 34 from 50 to get 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 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: 6096.3529
If we take 153 away from 160, we end up 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:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 6096.35294
If we subtract 68 from 70, we 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 12:
When dividing 20 by 17, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 6096.352941
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
If we divide 30 by 17, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 6096.3529411
Deduct 17 from 30 and we're left 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 6096.3529411 with a remainder of 1.3e-07.