100917 ÷ 9 
We're looking to find how many times 9 goes into 100917.

Advancing to step 1:
If we divide 1 by 9, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 9

Moving on to step 2:
When dividing 10 by 9, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 9 from 10 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 9

Advancing to step 3:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 9 away from 10, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 9

Let's proceed to step 4:
9 can be fit into 19 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 112.0
If we subtract 18 from 19, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 9

Advancing to step 5:
9 goes into 11 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1121.0
If we subtract 9 from 11, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 9

Let's proceed to step 6:
The number 9 fits into 27 3 times, leaving a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 11213.0
Subtract 27 from 27 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
The number 9 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 11213.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 9, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11213.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 11213.0, and the remainder is 0.0.