We're dividing 22414317 by 517 
We're looking to find how many times 517 goes into 22414317.

Step 1:
517 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 517

Step 2:
The number 517 fits into 22 0 times, leaving a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 22, we end up with 22.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 517

Going ahead to step 3:
The number 517 fits into 224 0 times, leaving a remainder of 224.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 224, we get 224.
Append the next digit (1) from the dividend to 224 and continue with: 2241 / 517

Let's proceed to step 4:
The number 517 fits into 2241 4 times, leaving a remainder of 173.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 173 after subtracting 2068 from 2241.
Append the next digit (4) from the dividend to 173 and continue with: 1734 / 517

On to step 5:
517 goes into 1734 3 times with a remainder of 183.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 1551 from 1734 to get 183.
Grab the next digit (3) from the dividend, add it to 183, then carry on: 1833 / 517

Moving on to step 6:
The number 517 fits into 1833 3 times, leaving a remainder of 282.
The next digit of our result is 3. 
Result so far: 433.0
If we take 1551 away from 1833, we end up with 282.
Fetch the next digit (1) from the dividend, attach it to 282 and continue: 2821 / 517

Advancing to step 7:
2821 divided by 517 is 5 with a remainder of 236.
The next digit of our result is 5. 
Result so far: 4335.0
The remainder is 236 after subtracting 2585 from 2821.
Fetch the next digit (7) from the dividend, attach it to 236 and continue: 2367 / 517

Going ahead to step 8:
If we divide 2367 by 517, we get 4 and a remainder of 299.
Record the quotient 4 as the next digit in the result. 
Result so far: 43354.0
Deduct 2068 from 2367 and we're left with 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Step 9:
If we divide 2990 by 517, we get 5 and a remainder of 405.
The next digit of our result is 5. 
Result so far: 43354.5
If we subtract 2585 from 2990, we get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Going ahead to step 10:
517 can be fit into 4050 7 times, resulting in a remainder of 431.
Record the quotient 7 as the next digit in the result. 
Result so far: 43354.57
If we subtract 3619 from 4050, we get 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Step 11:
If we divide 4310 by 517, we get 8 and a remainder of 174.
Put 8 as the next digit of the answer. 
Result so far: 43354.578
Deduct 4136 from 4310 and we're left with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Advancing to step 12:
When dividing 1740 by 517, we get 3 with a remainder of 189.
Record the quotient 3 as the next digit in the result. 
Result so far: 43354.5783
If we take 1551 away from 1740, we end up with 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Going ahead to step 13:
517 can be fit into 1890 3 times, resulting in a remainder of 339.
The next digit of our result is 3. 
Result so far: 43354.57833
Deduct 1551 from 1890 and we're left with 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

The quotient of the division is 43354.57833, and the remainder is 0.000339.