We're dividing 638638 by 17 
Our goal is to divide 638638 by 17.

Going ahead to step 1:
17 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 17

Moving on to step 2:
When dividing 63 by 17, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 12 after subtracting 51 from 63.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 17

On to step 3:
128 divided by 17 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtracting 119 from 128 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 17

Let's proceed to step 4:
17 goes into 96 5 times with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 375.0
Subtract 85 from 96 to get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 17

On to step 5:
17 can be fit into 113 6 times, resulting in a remainder of 11.
The next digit of our result is 6. 
Result so far: 3756.0
Subtracting 102 from 113 leaves us with 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 17

Moving on to step 6:
When dividing 118 by 17, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 37566.0
Deduct 102 from 118 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.

On to step 7:
17 goes into 160 9 times with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 37566.9
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.

Step 8:
17 goes into 70 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 37566.94
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.

Let's proceed to step 9:
The number 17 fits into 20 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 37566.941
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.

Let's proceed to step 10:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 37566.9411
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.

After the division, we end up with 37566.9411 and a remainder of 0.00013.