We're dividing 471341 by 65 
We're looking to find how many times 65 goes into 471341.

Going ahead to step 1:
If we divide 4 by 65, we get 0 and 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.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 65

Going ahead to step 2:
When dividing 47 by 65, we get 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 47 leaves us with 47.
Append the next digit (1) from the dividend to 47 and continue with: 471 / 65

Step 3:
471 divided by 65 is 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 455 from 471 to get 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 65

Let's proceed to step 4:
If we divide 163 by 65, we get 2 and a remainder of 33.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Subtract 130 from 163 to get 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 65

On to step 5:
If we divide 334 by 65, we get 5 and a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 725.0
If we take 325 away from 334, we end up with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 65

Step 6:
If we divide 91 by 65, we get 1 and a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 7251.0
Subtract 65 from 91 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
65 goes into 260 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 7251.4
The remainder is 0 after subtracting 260 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 65, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 7251.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 65, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7251.4
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 7251.4 and a remainder of 0.0.