We look at the division of 821109 by 17 
We want to divide 821109 by 17.

On to step 1:
When dividing 8 by 17, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 17

On to step 2:
17 goes into 82 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 68 from 82, we get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 17

Let's proceed to step 3:
141 divided by 17 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtracting 136 from 141 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 17

Let's proceed to step 4:
17 can be fit into 51 3 times, resulting in a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 483.0
Subtract 51 from 51 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 17

Going ahead to step 5:
17 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4830.0
If we take 0 away from 0, we end up with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 17

Moving on to step 6:
17 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 48300.0
The remainder is 9 after subtracting 0 from 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 7:
17 goes into 90 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 48300.5
If we take 85 away from 90, we end up 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.

Going ahead to step 8:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 48300.52
Subtracting 34 from 50 leaves us 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 9:
When dividing 160 by 17, we get 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 48300.529
If we subtract 153 from 160, we 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 10:
If we divide 70 by 17, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 48300.5294
Deduct 68 from 70 and we're left 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.

Let's proceed to step 11:
If we divide 20 by 17, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 48300.52941
Deduct 17 from 20 and we're left 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.

Moving on to step 12:
The number 17 fits into 30 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 48300.529411
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 48300.529411 with a remaining 1.3e-06.