We're dividing 546417 by 65 
We want to divide 546417 by 65.

Step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 65

Going ahead to step 2:
If we divide 54 by 65, we get 0 and a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Append the next digit (6) from the dividend to 54 and continue with: 546 / 65

Let's proceed to step 3:
65 goes into 546 8 times with a remainder of 26.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 26 after subtracting 520 from 546.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 65

Let's proceed to step 4:
The number 65 fits into 264 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
Deduct 260 from 264 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 65

Moving on to step 5:
The number 65 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 840.0
If we subtract 0 from 41, we get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 65

Going ahead to step 6:
65 goes into 417 6 times with a remainder of 27.
Use 6 as the next digit of our solution. 
Result so far: 8406.0
The remainder is 27 after subtracting 390 from 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
65 can be fit into 270 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 8406.4
Subtracting 260 from 270 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 65 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 8406.41
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 8406.415
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8406.4153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 11:
65 goes into 550 8 times with a remainder of 30.
The next digit of our result is 8. 
Result so far: 8406.41538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 8406.415384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 8406.4153846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
If we divide 100 by 65, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 8406.41538461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 8406.41538461 with a remainder of 3.5e-08.