3433005 ÷ 517 
We want to figure out the number of times 3433005 can be divided by 517.

Going ahead to step 1:
When dividing 3 by 517, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 517

Advancing to step 2:
The number 517 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 517

Advancing to step 3:
343 divided by 517 is 0 with a remainder of 343.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 343, we get 343.
Append the next digit (3) from the dividend to 343 and continue with: 3433 / 517

Let's proceed to step 4:
517 goes into 3433 6 times with a remainder of 331.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 3102 from 3433 to get 331.
Append the next digit (0) from the dividend to 331 and continue with: 3310 / 517

Let's proceed to step 5:
3310 divided by 517 is 6 with a remainder of 208.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Subtract 3102 from 3310 to get 208.
Bring next digit (0) of the dividend behind the 208 and repeat the process: 2080 / 517

On to step 6:
517 goes into 2080 4 times with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 664.0
Subtract 2068 from 2080 to get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 517

Moving on to step 7:
517 goes into 125 0 times with a remainder of 125.
Use 0 as the next digit of our solution. 
Result so far: 6640.0
If we subtract 0 from 125, we get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Let's proceed to step 8:
When dividing 1250 by 517, we get 2 with a remainder of 216.
Record the quotient 2 as the next digit in the result. 
Result so far: 6640.2
Deduct 1034 from 1250 and we're left with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Moving on to step 9:
517 goes into 2160 4 times with a remainder of 92.
Put 4 as the next digit of the answer. 
Result so far: 6640.24
If we subtract 2068 from 2160, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Going ahead to step 10:
517 can be fit into 920 1 times, resulting in a remainder of 403.
The number 1 becomes the next digit in our result. 
Result so far: 6640.241
The remainder is 403 after subtracting 517 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

On to step 11:
The number 517 fits into 4030 7 times, leaving a remainder of 411.
Use 7 as the next digit of our solution. 
Result so far: 6640.2417
Subtracting 3619 from 4030 leaves us with 411.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4110, and continue the process.

On to step 12:
The number 517 fits into 4110 7 times, leaving a remainder of 491.
Write down 7 as next digit of the result. 
Result so far: 6640.24177
The remainder is 491 after subtracting 3619 from 4110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

The final result is 6640.24177 with a remainder of 0.000491.