100017 ÷ 33 
We want to figure out the number of times 100017 can be divided by 33.

Let's proceed to step 1:
When dividing 1 by 33, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 33

Step 2:
33 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 33

Going ahead to step 3:
When dividing 100 by 33, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 99 from 100 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 33

Step 4:
10 divided by 33 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 33

On to step 5:
If we divide 101 by 33, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 303.0
If we subtract 99 from 101, we get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 33

Let's proceed to step 6:
27 divided by 33 is 0 with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 3030.0
Subtract 0 from 27 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
When dividing 270 by 33, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 3030.8
Subtract 264 from 270 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
60 divided by 33 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 3030.81
If we take 33 away from 60, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 9:
33 goes into 270 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 3030.818
Deduct 264 from 270 and we're left with 6.
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 10:
If we divide 60 by 33, we get 1 and a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 3030.8181
If we take 33 away from 60, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 11:
If we divide 270 by 33, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 3030.81818
Subtracting 264 from 270 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
33 can be fit into 60 1 times, resulting in a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 3030.818181
If we subtract 33 from 60, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
The number 33 fits into 270 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 3030.8181818
The remainder is 6 after subtracting 264 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
If we divide 60 by 33, we get 1 and a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 3030.81818181
Deduct 33 from 60 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 3030.81818181 with a balance of 2.7e-08.