We look at the division of 217003 by 33 
We want to divide 217003 by 33.

Let's proceed to step 1:
When dividing 2 by 33, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 33

On to step 2:
21 divided by 33 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 33

Let's proceed to step 3:
33 goes into 217 6 times with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 198 from 217 leaves us with 19.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 33

Going ahead to step 4:
When dividing 190 by 33, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Deduct 165 from 190 and we're left with 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 33

Moving on to step 5:
33 can be fit into 250 7 times, resulting in a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 657.0
Deduct 231 from 250 and we're left with 19.
Append the next digit (3) from the dividend to 19 and continue with: 193 / 33

Going ahead to step 6:
If we divide 193 by 33, we get 5 and a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 6575.0
If we take 165 away from 193, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
The number 33 fits into 280 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 6575.8
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
33 goes into 160 4 times with a remainder of 28.
The next digit of our result is 4. 
Result so far: 6575.84
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
280 divided by 33 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 6575.848
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
33 goes into 160 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 6575.8484
The remainder is 28 after subtracting 132 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
33 goes into 280 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 6575.84848
Subtracting 264 from 280 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 12:
33 can be fit into 160 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 6575.848484
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
33 can be fit into 280 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 6575.8484848
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
160 divided by 33 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 6575.84848484
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 6575.84848484, with a leftover of 2.8e-08.