450010 ÷ 65 
We're looking to find how many times 65 goes into 450010.

Let's proceed to step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 65

Step 2:
When dividing 45 by 65, we get 0 with 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.
Include the next digit (0) from the dividend after 45, then repeat: 450 / 65

On to step 3:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 390 from 450, we get 60.
Append the next digit (0) from the dividend to 60 and continue with: 600 / 65

Advancing to step 4:
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: 69.0
Subtracting 585 from 600 leaves us with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 65

On to step 5:
The number 65 fits into 151 2 times, leaving a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 692.0
If we take 130 away from 151, we end up with 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 65

Step 6:
210 divided by 65 is 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 6923.0
Subtracting 195 from 210 leaves us 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.

On to step 7:
65 goes into 150 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 6923.2
Deduct 130 from 150 and we're left 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.

On to step 8:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 6923.23
If we take 195 away from 200, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 6923.23
Subtract 0 from 50 to get 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 10:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 6923.2307
Subtracting 455 from 500 leaves us 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.

Step 11:
If we divide 450 by 65, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6923.23076
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.

On to step 12:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 6923.230769
Subtracting 585 from 600 leaves us 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.

Let's proceed to step 13:
When dividing 150 by 65, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6923.2307692
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 14:
200 divided by 65 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6923.23076923
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.

The quotient of the division is 6923.23076923, and the remainder is 5e-09.