17744194 ÷ 514 
We want to divide 17744194 by 514.

Step 1:
514 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 514

Step 2:
514 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 514

Let's proceed to step 3:
177 divided by 514 is 0 with a remainder of 177.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 177 after subtracting 0 from 177.
Grab the next digit (4) from the dividend, add it to 177, then carry on: 1774 / 514

On to step 4:
514 can be fit into 1774 3 times, resulting in a remainder of 232.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 1542 from 1774 leaves us with 232.
Bring next digit (4) of the dividend behind the 232 and repeat the process: 2324 / 514

Going ahead to step 5:
514 can be fit into 2324 4 times, resulting in a remainder of 268.
The next digit of our result is 4. 
Result so far: 34.0
The remainder is 268 after subtracting 2056 from 2324.
Append the next digit (1) from the dividend to 268 and continue with: 2681 / 514

Going ahead to step 6:
514 can be fit into 2681 5 times, resulting in a remainder of 111.
The next digit of our result is 5. 
Result so far: 345.0
If we subtract 2570 from 2681, we get 111.
Append the next digit (9) from the dividend to 111 and continue with: 1119 / 514

On to step 7:
If we divide 1119 by 514, we get 2 and a remainder of 91.
The number 2 becomes the next digit in our result. 
Result so far: 3452.0
If we subtract 1028 from 1119, we get 91.
Grab the next digit (4) from the dividend, add it to 91, then carry on: 914 / 514

Moving on to step 8:
When dividing 914 by 514, we get 1 with a remainder of 400.
Write down 1 as next digit of the result. 
Result so far: 34521.0
Subtract 514 from 914 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Moving on to step 9:
514 goes into 4000 7 times with a remainder of 402.
Record the quotient 7 as the next digit in the result. 
Result so far: 34521.7
Subtracting 3598 from 4000 leaves us with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Advancing to step 10:
514 can be fit into 4020 7 times, resulting in a remainder of 422.
Put 7 as the next digit of the answer. 
Result so far: 34521.77
Subtracting 3598 from 4020 leaves us with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

The quotient of the division is 34521.77, and the remainder is 0.422.