We look at the division of 33709 by 71 
We're looking to find how many times 71 goes into 33709.

Step 1:
If we divide 3 by 71, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 71

On to step 2:
The number 71 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 71

On to step 3:
71 can be fit into 337 4 times, resulting in a remainder of 53.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 284 from 337 leaves us with 53.
Bring next digit (0) of the dividend behind the 53 and repeat the process: 530 / 71

Advancing to step 4:
When dividing 530 by 71, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Subtract 497 from 530 to get 33.
Bring next digit (9) of the dividend behind the 33 and repeat the process: 339 / 71

Going ahead to step 5:
71 can be fit into 339 4 times, resulting in a remainder of 55.
The number 4 becomes the next digit in our result. 
Result so far: 474.0
The remainder is 55 after subtracting 284 from 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 6:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 474.7
Subtracting 497 from 550 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 7:
When dividing 530 by 71, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 474.77
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 474.77 with a remainder of 0.033.