We look at the division of 13744353 by 516 
We're looking to find how many times 516 goes into 13744353.

Advancing to step 1:
516 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 516

Moving on to step 2:
The number 516 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 516

On to step 3:
137 divided by 516 is 0 with a remainder of 137.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 137 to get 137.
Take the next digit (4) from the dividend and append it to 137, then repeat: 1374 / 516

Step 4:
The number 516 fits into 1374 2 times, leaving a remainder of 342.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 1032 from 1374 and we're left with 342.
Fetch the next digit (4) from the dividend, attach it to 342 and continue: 3424 / 516

On to step 5:
3424 divided by 516 is 6 with a remainder of 328.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we subtract 3096 from 3424, we get 328.
Take the next digit (3) from the dividend and append it to 328, then repeat: 3283 / 516

Moving on to step 6:
516 can be fit into 3283 6 times, resulting in a remainder of 187.
Use 6 as the next digit of our solution. 
Result so far: 266.0
Subtract 3096 from 3283 to get 187.
Bring next digit (5) of the dividend behind the 187 and repeat the process: 1875 / 516

Moving on to step 7:
If we divide 1875 by 516, we get 3 and a remainder of 327.
The number 3 becomes the next digit in our result. 
Result so far: 2663.0
The remainder is 327 after subtracting 1548 from 1875.
Grab the next digit (3) from the dividend, add it to 327, then carry on: 3273 / 516

Going ahead to step 8:
516 goes into 3273 6 times with a remainder of 177.
Record the quotient 6 as the next digit in the result. 
Result so far: 26636.0
If we subtract 3096 from 3273, we get 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Moving on to step 9:
516 goes into 1770 3 times with a remainder of 222.
The next digit of our result is 3. 
Result so far: 26636.3
If we take 1548 away from 1770, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Let's proceed to step 10:
516 goes into 2220 4 times with a remainder of 156.
Use 4 as the next digit of our solution. 
Result so far: 26636.34
Deduct 2064 from 2220 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Step 11:
If we divide 1560 by 516, we get 3 and a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 26636.343
If we take 1548 away from 1560, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
516 can be fit into 120 0 times, resulting in a remainder of 120.
Record the quotient 0 as the next digit in the result. 
Result so far: 26636.343
The remainder is 120 after subtracting 0 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 13:
When dividing 1200 by 516, we get 2 with a remainder of 168.
The next digit of our result is 2. 
Result so far: 26636.34302
If we subtract 1032 from 1200, we get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Step 14:
When dividing 1680 by 516, we get 3 with a remainder of 132.
Record the quotient 3 as the next digit in the result. 
Result so far: 26636.343023
Subtracting 1548 from 1680 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Going ahead to step 15:
1320 divided by 516 is 2 with a remainder of 288.
Write down 2 as next digit of the result. 
Result so far: 26636.3430232
If we subtract 1032 from 1320, we get 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

On to step 16:
516 can be fit into 2880 5 times, resulting in a remainder of 300.
Put 5 as the next digit of the answer. 
Result so far: 26636.34302325
If we take 2580 away from 2880, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

The final result is 26636.34302325 with a remainder of 3e-07.