We look at the division of 417546 by 65 
Our goal is to divide 417546 by 65.

Let's proceed to step 1:
4 divided by 65 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 65

Going ahead to step 2:
65 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 65

Step 3:
65 goes into 417 6 times with a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 27 after subtracting 390 from 417.
Fetch the next digit (5) from the dividend, attach it to 27 and continue: 275 / 65

Going ahead to step 4:
The number 65 fits into 275 4 times, leaving a remainder of 15.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we subtract 260 from 275, we get 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 65

Step 5:
When dividing 154 by 65, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 642.0
If we take 130 away from 154, we end up with 24.
Bring next digit (6) of the dividend behind the 24 and repeat the process: 246 / 65

Going ahead to step 6:
65 can be fit into 246 3 times, resulting in a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 6423.0
If we take 195 away from 246, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
The number 65 fits into 510 7 times, leaving a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 6423.7
If we take 455 away from 510, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
65 goes into 550 8 times with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6423.78
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
300 divided by 65 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6423.784
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 10:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6423.7846
Deduct 390 from 400 and we're left 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 11:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6423.78461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 6423.784615
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.

Step 13:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 6423.7846153
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.

Advancing to step 14:
550 divided by 65 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6423.78461538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 6423.78461538 and a remainder of 3e-08.