We divide 322114 by 17
We want to figure out the number of times 322114 can be divided by 17.

Going ahead to step 1:
3 divided by 17 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 17

On to step 2:
If we divide 32 by 17, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 17 from 32 to get 15.
Fetch the next digit (2) from the dividend, attach it to 15 and continue: 152 / 17

Advancing to step 3:
17 can be fit into 152 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 18.0
If we take 136 away from 152, we end up with 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 17

Going ahead to step 4:
If we divide 161 by 17, we get 9 and a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 189.0
Subtract 153 from 161 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 17

Advancing to step 5:
17 can be fit into 81 4 times, resulting in a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 1894.0
If we take 68 away from 81, we end up with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 17

On to step 6:
If we divide 134 by 17, we get 7 and a remainder of 15.
The next digit of our result is 7. 
Result so far: 18947.0
If we subtract 119 from 134, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
17 can be fit into 150 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 18947.8
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
17 goes into 140 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 18947.88
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 18947.88 with a remainder of 0.004.