We look at the division of 110222 by 17 
We're looking to find how many times 17 goes into 110222.

Advancing to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 17

Let's proceed to step 2:
When dividing 11 by 17, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 17

Let's proceed to step 3:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 102 from 110 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 17

Going ahead to step 4:
The number 17 fits into 82 4 times, leaving a remainder of 14.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 14 after subtracting 68 from 82.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 17

Going ahead to step 5:
When dividing 142 by 17, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 648.0
The remainder is 6 after subtracting 136 from 142.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 17

Advancing to step 6:
If we divide 62 by 17, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 6483.0
The remainder is 11 after subtracting 51 from 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 17, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6483.6
If we take 102 away from 110, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 17 fits into 80 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 6483.64
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
17 goes into 120 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 6483.647
The remainder is 1 after subtracting 119 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
10 divided by 17 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6483.647
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
17 can be fit into 100 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 6483.64705
Subtracting 85 from 100 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
When dividing 150 by 17, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 6483.647058
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.

Going ahead to step 13:
140 divided by 17 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 6483.6470588
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 quotient of the division is 6483.6470588, and the remainder is 4e-08.