14461077 divided by 513 
We want to divide 14461077 by 513.

Let's proceed to step 1:
When dividing 1 by 513, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 513

Moving on to step 2:
If we divide 14 by 513, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 513

Step 3:
If we divide 144 by 513, we get 0 and a remainder of 144.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 144 to get 144.
Take the next digit (6) from the dividend and append it to 144, then repeat: 1446 / 513

Moving on to step 4:
If we divide 1446 by 513, we get 2 and a remainder of 420.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 1026 from 1446 and we're left with 420.
Include the next digit (1) from the dividend after 420, then repeat: 4201 / 513

Moving on to step 5:
513 can be fit into 4201 8 times, resulting in a remainder of 97.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Subtracting 4104 from 4201 leaves us with 97.
Include the next digit (0) from the dividend after 97, then repeat: 970 / 513

Step 6:
The number 513 fits into 970 1 times, leaving a remainder of 457.
Write down 1 as next digit of the result. 
Result so far: 281.0
Deduct 513 from 970 and we're left with 457.
Take the next digit (7) from the dividend and append it to 457, then repeat: 4577 / 513

Moving on to step 7:
513 goes into 4577 8 times with a remainder of 473.
The next digit of our result is 8. 
Result so far: 2818.0
The remainder is 473 after subtracting 4104 from 4577.
Fetch the next digit (7) from the dividend, attach it to 473 and continue: 4737 / 513

Going ahead to step 8:
4737 divided by 513 is 9 with a remainder of 120.
Record the quotient 9 as the next digit in the result. 
Result so far: 28189.0
Subtract 4617 from 4737 to get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 9:
If we divide 1200 by 513, we get 2 and a remainder of 174.
The number 2 becomes the next digit in our result. 
Result so far: 28189.2
Subtracting 1026 from 1200 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Let's proceed to step 10:
The number 513 fits into 1740 3 times, leaving a remainder of 201.
Use 3 as the next digit of our solution. 
Result so far: 28189.23
If we subtract 1539 from 1740, we get 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

On to step 11:
2010 divided by 513 is 3 with a remainder of 471.
Put 3 as the next digit of the answer. 
Result so far: 28189.233
If we take 1539 away from 2010, we end up with 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

In conclusion, the division gives 28189.233 with a balance of 0.0471.