We're dividing 176708 by 33 
We're looking to find how many times 33 goes into 176708.

Going ahead to step 1:
When dividing 1 by 33, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 33

Step 2:
17 divided by 33 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 33

Step 3:
If we divide 176 by 33, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 5.0
If we take 165 away from 176, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 33

Advancing to step 4:
When dividing 117 by 33, we get 3 with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Subtracting 99 from 117 leaves us with 18.
Grab the next digit (0) from the dividend, add it to 18, then carry on: 180 / 33

Moving on to step 5:
The number 33 fits into 180 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 535.0
If we take 165 away from 180, we end up with 15.
Take the next digit (8) from the dividend and append it to 15, then repeat: 158 / 33

Step 6:
The number 33 fits into 158 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 5354.0
If we take 132 away from 158, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
If we divide 260 by 33, we get 7 and a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 5354.7
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 8:
The number 33 fits into 290 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 5354.78
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
When dividing 260 by 33, we get 7 with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 5354.787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 10:
If we divide 290 by 33, we get 8 and a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 5354.7878
Deduct 264 from 290 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
33 can be fit into 260 7 times, resulting in a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 5354.78787
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
If we divide 290 by 33, we get 8 and a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 5354.787878
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
The number 33 fits into 260 7 times, leaving a remainder of 29.
The next digit of our result is 7. 
Result so far: 5354.7878787
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 14:
290 divided by 33 is 8 with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 5354.78787878
Subtracting 264 from 290 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 5354.78787878 with a remainder of 2.6e-08.