817638 ÷ 17 
Our goal is to divide 817638 by 17.

Step 1:
The number 17 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 17

Moving on to step 2:
When dividing 81 by 17, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 68 away from 81, we end up with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 17

Step 3:
If we divide 137 by 17, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtract 136 from 137 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 17

Advancing to step 4:
The number 17 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 480.0
The remainder is 16 after subtracting 0 from 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 17

Advancing to step 5:
163 divided by 17 is 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 4809.0
If we take 153 away from 163, we end up with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 17

Let's proceed to step 6:
17 goes into 108 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 48096.0
The remainder is 6 after subtracting 102 from 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
60 divided by 17 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 48096.3
If we subtract 51 from 60, we 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.

On to step 8:
If we divide 90 by 17, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 48096.35
Deduct 85 from 90 and we're left 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.

Let's proceed to step 9:
17 goes into 50 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 48096.352
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.

Step 10:
If we divide 160 by 17, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 48096.3529
Subtract 153 from 160 to get 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.
Write down 4 as next digit of the result. 
Result so far: 48096.35294
If we take 68 away from 70, we end up with 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.
The number 1 becomes the next digit in our result. 
Result so far: 48096.352941
If we take 17 away from 20, we end up 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.

Going ahead to step 13:
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: 48096.3529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 48096.3529411 with a remaining 1.3e-07.