7038522 ÷ 513 
Our goal is to divide 7038522 by 513.

Going ahead to step 1:
The number 513 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 513

Going ahead to step 2:
513 goes into 70 0 times with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Bring next digit (3) of the dividend behind the 70 and repeat the process: 703 / 513

Let's proceed to step 3:
When dividing 703 by 513, we get 1 with a remainder of 190.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 190 after subtracting 513 from 703.
Grab the next digit (8) from the dividend, add it to 190, then carry on: 1908 / 513

Moving on to step 4:
The number 513 fits into 1908 3 times, leaving a remainder of 369.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 369 after subtracting 1539 from 1908.
Bring next digit (5) of the dividend behind the 369 and repeat the process: 3695 / 513

Moving on to step 5:
3695 divided by 513 is 7 with a remainder of 104.
Put 7 as the next digit of the answer. 
Result so far: 137.0
Subtract 3591 from 3695 to get 104.
Include the next digit (2) from the dividend after 104, then repeat: 1042 / 513

Moving on to step 6:
513 can be fit into 1042 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 1372.0
If we take 1026 away from 1042, we end up with 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 513

Let's proceed to step 7:
513 goes into 162 0 times with a remainder of 162.
Write down 0 as next digit of the result. 
Result so far: 13720.0
Subtract 0 from 162 to get 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Step 8:
When dividing 1620 by 513, we get 3 with a remainder of 81.
Write down 3 as next digit of the result. 
Result so far: 13720.3
Subtract 1539 from 1620 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 9:
When dividing 810 by 513, we get 1 with a remainder of 297.
Put 1 as the next digit of the answer. 
Result so far: 13720.31
The remainder is 297 after subtracting 513 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Going ahead to step 10:
513 can be fit into 2970 5 times, resulting in a remainder of 405.
Put 5 as the next digit of the answer. 
Result so far: 13720.315
If we subtract 2565 from 2970, 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.

Advancing to step 11:
When dividing 4050 by 513, we get 7 with a remainder of 459.
The next digit of our result is 7. 
Result so far: 13720.3157
Subtract 3591 from 4050 to get 459.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4590, and continue the process.

Going ahead to step 12:
4590 divided by 513 is 8 with a remainder of 486.
Record the quotient 8 as the next digit in the result. 
Result so far: 13720.31578
Subtracting 4104 from 4590 leaves us with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Step 13:
513 can be fit into 4860 9 times, resulting in a remainder of 243.
Record the quotient 9 as the next digit in the result. 
Result so far: 13720.315789
Deduct 4617 from 4860 and we're left with 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

Going ahead to step 14:
513 can be fit into 2430 4 times, resulting in a remainder of 378.
The next digit of our result is 4. 
Result so far: 13720.3157894
Subtracting 2052 from 2430 leaves us with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

On to step 15:
When dividing 3780 by 513, we get 7 with a remainder of 189.
Put 7 as the next digit of the answer. 
Result so far: 13720.31578947
Subtract 3591 from 3780 to get 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

The final result is 13720.31578947 with a remainder of 1.89e-07.