We're dividing 457775 by 65 
We're looking to find how many times 65 goes into 457775.

Step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 65

Step 2:
If we divide 45 by 65, we get 0 and a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Fetch the next digit (7) from the dividend, attach it to 45 and continue: 457 / 65

On to step 3:
The number 65 fits into 457 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 455 from 457, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 65

Going ahead to step 4:
When dividing 27 by 65, we get 0 with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 70.0
If we take 0 away from 27, we end up with 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 65

Moving on to step 5:
When dividing 277 by 65, we get 4 with a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 704.0
Subtract 260 from 277 to get 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 65

On to step 6:
65 goes into 175 2 times with a remainder of 45.
The next digit of our result is 2. 
Result so far: 7042.0
If we subtract 130 from 175, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 7042.6
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
When dividing 600 by 65, we get 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 7042.69
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 7042.692
Subtracting 130 from 150 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 7042.6923
If we subtract 195 from 200, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7042.6923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 12:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 7042.692307
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 13:
450 divided by 65 is 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 7042.6923076
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 7042.69230769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 7042.69230769 and a remainder of 1.5e-08.