We're dividing 33502577 by 509 
Our goal is to divide 33502577 by 509.

On to step 1:
The number 509 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 509

Let's proceed to step 2:
509 goes into 33 0 times with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 509

Moving on to step 3:
509 can be fit into 335 0 times, resulting in a remainder of 335.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 335 and we're left with 335.
Grab the next digit (0) from the dividend, add it to 335, then carry on: 3350 / 509

Let's proceed to step 4:
When dividing 3350 by 509, we get 6 with a remainder of 296.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 3054 from 3350 to get 296.
Include the next digit (2) from the dividend after 296, then repeat: 2962 / 509

Moving on to step 5:
509 goes into 2962 5 times with a remainder of 417.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtracting 2545 from 2962 leaves us with 417.
Append the next digit (5) from the dividend to 417 and continue with: 4175 / 509

Let's proceed to step 6:
509 can be fit into 4175 8 times, resulting in a remainder of 103.
Use 8 as the next digit of our solution. 
Result so far: 658.0
Subtract 4072 from 4175 to get 103.
Grab the next digit (7) from the dividend, add it to 103, then carry on: 1037 / 509

On to step 7:
When dividing 1037 by 509, we get 2 with a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 6582.0
Subtracting 1018 from 1037 leaves us with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 509

Let's proceed to step 8:
197 divided by 509 is 0 with a remainder of 197.
The next digit of our result is 0. 
Result so far: 65820.0
If we take 0 away from 197, we end up with 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Step 9:
The number 509 fits into 1970 3 times, leaving a remainder of 443.
Use 3 as the next digit of our solution. 
Result so far: 65820.3
The remainder is 443 after subtracting 1527 from 1970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

Advancing to step 10:
When dividing 4430 by 509, we get 8 with a remainder of 358.
Use 8 as the next digit of our solution. 
Result so far: 65820.38
Subtract 4072 from 4430 to get 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Step 11:
509 goes into 3580 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 65820.387
Subtracting 3563 from 3580 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 12:
509 can be fit into 170 0 times, resulting in a remainder of 170.
Use 0 as the next digit of our solution. 
Result so far: 65820.387
Deduct 0 from 170 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Advancing to step 13:
1700 divided by 509 is 3 with a remainder of 173.
The next digit of our result is 3. 
Result so far: 65820.38703
The remainder is 173 after subtracting 1527 from 1700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

On to step 14:
509 can be fit into 1730 3 times, resulting in a remainder of 203.
Put 3 as the next digit of the answer. 
Result so far: 65820.387033
If we take 1527 away from 1730, we end up with 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

The final result is 65820.387033 with a remainder of 2.03e-05.