We look at the division of 71827707 by 648 
We want to divide 71827707 by 648.

On to step 1:
648 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 648

Moving on to step 2:
648 goes into 71 0 times with a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Take the next digit (8) from the dividend and append it to 71, then repeat: 718 / 648

Let's proceed to step 3:
648 goes into 718 1 times with a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 648 from 718 and we're left with 70.
Bring next digit (2) of the dividend behind the 70 and repeat the process: 702 / 648

Moving on to step 4:
648 goes into 702 1 times with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 648 from 702 to get 54.
Include the next digit (7) from the dividend after 54, then repeat: 547 / 648

Moving on to step 5:
When dividing 547 by 648, we get 0 with a remainder of 547.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtract 0 from 547 to get 547.
Include the next digit (7) from the dividend after 547, then repeat: 5477 / 648

On to step 6:
If we divide 5477 by 648, we get 8 and a remainder of 293.
The next digit of our result is 8. 
Result so far: 1108.0
If we take 5184 away from 5477, we end up with 293.
Fetch the next digit (0) from the dividend, attach it to 293 and continue: 2930 / 648

Step 7:
2930 divided by 648 is 4 with a remainder of 338.
The number 4 becomes the next digit in our result. 
Result so far: 11084.0
If we subtract 2592 from 2930, we get 338.
Bring next digit (7) of the dividend behind the 338 and repeat the process: 3387 / 648

On to step 8:
If we divide 3387 by 648, we get 5 and a remainder of 147.
The number 5 becomes the next digit in our result. 
Result so far: 110845.0
If we subtract 3240 from 3387, we get 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

On to step 9:
648 goes into 1470 2 times with a remainder of 174.
Use 2 as the next digit of our solution. 
Result so far: 110845.2
If we take 1296 away from 1470, we end up 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.

Moving on to step 10:
648 can be fit into 1740 2 times, resulting in a remainder of 444.
The next digit of our result is 2. 
Result so far: 110845.22
The remainder is 444 after subtracting 1296 from 1740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

The quotient of the division is 110845.22, and the remainder is 0.444.