We divide 6529414 by 510
Our goal is to divide 6529414 by 510.

On to step 1:
510 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 510

On to step 2:
If we divide 65 by 510, we get 0 and a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Take the next digit (2) from the dividend and append it to 65, then repeat: 652 / 510

Advancing to step 3:
The number 510 fits into 652 1 times, leaving a remainder of 142.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 510 from 652 leaves us with 142.
Bring next digit (9) of the dividend behind the 142 and repeat the process: 1429 / 510

Going ahead to step 4:
When dividing 1429 by 510, we get 2 with a remainder of 409.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 1020 from 1429 to get 409.
Fetch the next digit (4) from the dividend, attach it to 409 and continue: 4094 / 510

Let's proceed to step 5:
The number 510 fits into 4094 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 128.0
The remainder is 14 after subtracting 4080 from 4094.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 510

On to step 6:
510 can be fit into 141 0 times, resulting in a remainder of 141.
Record the quotient 0 as the next digit in the result. 
Result so far: 1280.0
If we subtract 0 from 141, we get 141.
Grab the next digit (4) from the dividend, add it to 141, then carry on: 1414 / 510

Advancing to step 7:
510 goes into 1414 2 times with a remainder of 394.
Write down 2 as next digit of the result. 
Result so far: 12802.0
The remainder is 394 after subtracting 1020 from 1414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Step 8:
The number 510 fits into 3940 7 times, leaving a remainder of 370.
Put 7 as the next digit of the answer. 
Result so far: 12802.7
Deduct 3570 from 3940 and we're left with 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Let's proceed to step 9:
510 goes into 3700 7 times with a remainder of 130.
Write down 7 as next digit of the result. 
Result so far: 12802.77
If we subtract 3570 from 3700, we get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

The quotient of the division is 12802.77, and the remainder is 0.13.