Let's divide 6462586 by 513
We want to divide 6462586 by 513.

Moving on to step 1:
If we divide 6 by 513, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 513

Let's proceed to step 2:
64 divided by 513 is 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 513

Advancing to step 3:
When dividing 646 by 513, we get 1 with a remainder of 133.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 133 after subtracting 513 from 646.
Grab the next digit (2) from the dividend, add it to 133, then carry on: 1332 / 513

On to step 4:
513 goes into 1332 2 times with a remainder of 306.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 1026 from 1332 and we're left with 306.
Bring next digit (5) of the dividend behind the 306 and repeat the process: 3065 / 513

Step 5:
The number 513 fits into 3065 5 times, leaving a remainder of 500.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Deduct 2565 from 3065 and we're left with 500.
Fetch the next digit (8) from the dividend, attach it to 500 and continue: 5008 / 513

Going ahead to step 6:
513 goes into 5008 9 times with a remainder of 391.
The number 9 becomes the next digit in our result. 
Result so far: 1259.0
The remainder is 391 after subtracting 4617 from 5008.
Fetch the next digit (6) from the dividend, attach it to 391 and continue: 3916 / 513

On to step 7:
If we divide 3916 by 513, we get 7 and a remainder of 325.
Put 7 as the next digit of the answer. 
Result so far: 12597.0
If we subtract 3591 from 3916, we get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Moving on to step 8:
If we divide 3250 by 513, we get 6 and a remainder of 172.
The next digit of our result is 6. 
Result so far: 12597.6
If we subtract 3078 from 3250, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Moving on to step 9:
When dividing 1720 by 513, we get 3 with a remainder of 181.
Put 3 as the next digit of the answer. 
Result so far: 12597.63
Subtracting 1539 from 1720 leaves us with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

On to step 10:
513 goes into 1810 3 times with a remainder of 271.
The next digit of our result is 3. 
Result so far: 12597.633
The remainder is 271 after subtracting 1539 from 1810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Our division results in 12597.633 with a remaining 0.0271.