We look at the division of 6505 by 72 
We want to figure out the number of times 6505 can be divided by 72.

On to step 1:
72 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 72

On to step 2:
72 can be fit into 65 0 times, resulting in a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Fetch the next digit (0) from the dividend, attach it to 65 and continue: 650 / 72

Moving on to step 3:
If we divide 650 by 72, we get 9 and a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 648 from 650 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 72

Let's proceed to step 4:
72 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
If we take 0 away from 25, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 5:
250 divided by 72 is 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 90.3
Subtract 216 from 250 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 6:
340 divided by 72 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 90.34
Subtract 288 from 340 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
The number 72 fits into 520 7 times, leaving a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 90.347
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 72 fits into 160 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 90.3472
Subtract 144 from 160 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 72, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 90.34722
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 90.34722, and the remainder is 1.6e-05.