We look at the division of 13905233 by 513 
We want to figure out the number of times 13905233 can be divided by 513.

Going ahead 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
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 513

Let's proceed to step 2:
513 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 513

Advancing to step 3:
513 goes into 139 0 times with a remainder of 139.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 139 after subtracting 0 from 139.
Take the next digit (0) from the dividend and append it to 139, then repeat: 1390 / 513

Let's proceed to step 4:
1390 divided by 513 is 2 with a remainder of 364.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 1026 from 1390 and we're left with 364.
Take the next digit (5) from the dividend and append it to 364, then repeat: 3645 / 513

Advancing to step 5:
513 goes into 3645 7 times with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 27.0
If we subtract 3591 from 3645, we get 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 513

Step 6:
When dividing 542 by 513, we get 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 271.0
If we subtract 513 from 542, we get 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 513

On to step 7:
When dividing 293 by 513, we get 0 with a remainder of 293.
Write down 0 as next digit of the result. 
Result so far: 2710.0
Deduct 0 from 293 and we're left with 293.
Include the next digit (3) from the dividend after 293, then repeat: 2933 / 513

Advancing to step 8:
When dividing 2933 by 513, we get 5 with a remainder of 368.
Write down 5 as next digit of the result. 
Result so far: 27105.0
Deduct 2565 from 2933 and we're left with 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

On to step 9:
3680 divided by 513 is 7 with a remainder of 89.
The number 7 becomes the next digit in our result. 
Result so far: 27105.7
Subtract 3591 from 3680 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Advancing to step 10:
When dividing 890 by 513, we get 1 with a remainder of 377.
Record the quotient 1 as the next digit in the result. 
Result so far: 27105.71
The remainder is 377 after subtracting 513 from 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3770, and continue the process.

Advancing to step 11:
513 goes into 3770 7 times with a remainder of 179.
Record the quotient 7 as the next digit in the result. 
Result so far: 27105.717
Deduct 3591 from 3770 and we're left with 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

On to step 12:
1790 divided by 513 is 3 with a remainder of 251.
The number 3 becomes the next digit in our result. 
Result so far: 27105.7173
If we subtract 1539 from 1790, we get 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Advancing to step 13:
If we divide 2510 by 513, we get 4 and a remainder of 458.
Record the quotient 4 as the next digit in the result. 
Result so far: 27105.71734
The remainder is 458 after subtracting 2052 from 2510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

On to step 14:
513 can be fit into 4580 8 times, resulting in a remainder of 476.
Write down 8 as next digit of the result. 
Result so far: 27105.717348
Deduct 4104 from 4580 and we're left with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Step 15:
When dividing 4760 by 513, we get 9 with a remainder of 143.
Write down 9 as next digit of the result. 
Result so far: 27105.7173489
Subtracting 4617 from 4760 leaves us with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Moving on to step 16:
When dividing 1430 by 513, we get 2 with a remainder of 404.
Put 2 as the next digit of the answer. 
Result so far: 27105.71734892
Deduct 1026 from 1430 and we're left with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

In conclusion, the division gives 27105.71734892 with a balance of 4.04e-07.