We're dividing 16417636 by 517 
We want to figure out the number of times 16417636 can be divided by 517.

Moving on to step 1:
The number 517 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 517

Advancing to step 2:
When dividing 16 by 517, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 517

Moving on to step 3:
If we divide 164 by 517, we get 0 and a remainder of 164.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 164, we end up with 164.
Fetch the next digit (1) from the dividend, attach it to 164 and continue: 1641 / 517

On to step 4:
The number 517 fits into 1641 3 times, leaving a remainder of 90.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 1551 away from 1641, we end up with 90.
Take the next digit (7) from the dividend and append it to 90, then repeat: 907 / 517

Let's proceed to step 5:
517 goes into 907 1 times with a remainder of 390.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we subtract 517 from 907, we get 390.
Fetch the next digit (6) from the dividend, attach it to 390 and continue: 3906 / 517

Step 6:
The number 517 fits into 3906 7 times, leaving a remainder of 287.
Record the quotient 7 as the next digit in the result. 
Result so far: 317.0
Subtracting 3619 from 3906 leaves us with 287.
Bring next digit (3) of the dividend behind the 287 and repeat the process: 2873 / 517

Advancing to step 7:
When dividing 2873 by 517, we get 5 with a remainder of 288.
Use 5 as the next digit of our solution. 
Result so far: 3175.0
The remainder is 288 after subtracting 2585 from 2873.
Bring next digit (6) of the dividend behind the 288 and repeat the process: 2886 / 517

On to step 8:
517 can be fit into 2886 5 times, resulting in a remainder of 301.
Write down 5 as next digit of the result. 
Result so far: 31755.0
If we take 2585 away from 2886, we end up with 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

Let's proceed to step 9:
517 can be fit into 3010 5 times, resulting in a remainder of 425.
The next digit of our result is 5. 
Result so far: 31755.5
Subtracting 2585 from 3010 leaves us with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Advancing to step 10:
517 can be fit into 4250 8 times, resulting in a remainder of 114.
The number 8 becomes the next digit in our result. 
Result so far: 31755.58
If we subtract 4136 from 4250, we get 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Let's proceed to step 11:
517 can be fit into 1140 2 times, resulting in a remainder of 106.
Record the quotient 2 as the next digit in the result. 
Result so far: 31755.582
Deduct 1034 from 1140 and we're left with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Moving on to step 12:
1060 divided by 517 is 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 31755.5822
Deduct 1034 from 1060 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.

The final result is 31755.5822 with a remainder of 0.00026.