We look at the division of 17742040 by 513 
Let's see how many times 513 fits into 17742040.

Moving on to step 1:
If we divide 1 by 513, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 513

On to step 2:
17 divided by 513 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 513

Step 3:
The number 513 fits into 177 0 times, leaving a remainder of 177.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 177 to get 177.
Fetch the next digit (4) from the dividend, attach it to 177 and continue: 1774 / 513

Going ahead to step 4:
If we divide 1774 by 513, we get 3 and a remainder of 235.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 235 after subtracting 1539 from 1774.
Take the next digit (2) from the dividend and append it to 235, then repeat: 2352 / 513

Let's proceed to step 5:
513 can be fit into 2352 4 times, resulting in a remainder of 300.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we subtract 2052 from 2352, we get 300.
Take the next digit (0) from the dividend and append it to 300, then repeat: 3000 / 513

Moving on to step 6:
513 goes into 3000 5 times with a remainder of 435.
Record the quotient 5 as the next digit in the result. 
Result so far: 345.0
The remainder is 435 after subtracting 2565 from 3000.
Include the next digit (4) from the dividend after 435, then repeat: 4354 / 513

Going ahead to step 7:
513 goes into 4354 8 times with a remainder of 250.
Write down 8 as next digit of the result. 
Result so far: 3458.0
Deduct 4104 from 4354 and we're left with 250.
Include the next digit (0) from the dividend after 250, then repeat: 2500 / 513

On to step 8:
When dividing 2500 by 513, we get 4 with a remainder of 448.
The next digit of our result is 4. 
Result so far: 34584.0
If we subtract 2052 from 2500, we get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Advancing to step 9:
The number 513 fits into 4480 8 times, leaving a remainder of 376.
Use 8 as the next digit of our solution. 
Result so far: 34584.8
The remainder is 376 after subtracting 4104 from 4480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Step 10:
When dividing 3760 by 513, we get 7 with a remainder of 169.
The number 7 becomes the next digit in our result. 
Result so far: 34584.87
Subtract 3591 from 3760 to get 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

Step 11:
513 can be fit into 1690 3 times, resulting in a remainder of 151.
The number 3 becomes the next digit in our result. 
Result so far: 34584.873
Deduct 1539 from 1690 and we're left with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Going ahead to step 12:
When dividing 1510 by 513, we get 2 with a remainder of 484.
Use 2 as the next digit of our solution. 
Result so far: 34584.8732
Subtract 1026 from 1510 to get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Going ahead to step 13:
4840 divided by 513 is 9 with a remainder of 223.
Write down 9 as next digit of the result. 
Result so far: 34584.87329
Subtracting 4617 from 4840 leaves us with 223.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2230, and continue the process.

Advancing to step 14:
2230 divided by 513 is 4 with a remainder of 178.
Use 4 as the next digit of our solution. 
Result so far: 34584.873294
If we subtract 2052 from 2230, we get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Moving on to step 15:
513 goes into 1780 3 times with a remainder of 241.
The next digit of our result is 3. 
Result so far: 34584.8732943
Subtracting 1539 from 1780 leaves us with 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

On to step 16:
2410 divided by 513 is 4 with a remainder of 358.
Write down 4 as next digit of the result. 
Result so far: 34584.87329434
Subtract 2052 from 2410 to get 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

In conclusion, the division gives 34584.87329434 with a balance of 3.58e-07.