We're dividing 419055 by 65 
Let's see how many times 65 fits into 419055.

Moving on to step 1:
65 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 65

Step 2:
65 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 65

On to step 3:
419 divided by 65 is 6 with a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 390 from 419, we get 29.
Bring next digit (0) of the dividend behind the 29 and repeat the process: 290 / 65

On to step 4:
65 goes into 290 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we take 260 away from 290, we end up with 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 65

On to step 5:
305 divided by 65 is 4 with a remainder of 45.
Write down 4 as next digit of the result. 
Result so far: 644.0
If we subtract 260 from 305, we get 45.
Append the next digit (5) from the dividend to 45 and continue with: 455 / 65

On to step 6:
The number 65 fits into 455 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 6447.0
Subtracting 455 from 455 leaves us 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.

Going ahead to step 7:
When dividing 0 by 65, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6447.0
Deduct 0 from 0 and we're left 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.

Moving on to step 8:
The number 65 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6447.0
Subtracting 0 from 0 leaves us 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.

The final outcome is 6447.0, with a leftover of 0.0.