478671 ÷ 65 
We want to divide 478671 by 65.

Let's proceed to step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 65

On to step 2:
65 goes into 47 0 times with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Include the next digit (8) from the dividend after 47, then repeat: 478 / 65

Going ahead to step 3:
65 goes into 478 7 times with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 455 from 478 and we're left with 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 65

On to step 4:
If we divide 236 by 65, we get 3 and a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Deduct 195 from 236 and we're left with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 65

Step 5:
65 goes into 417 6 times with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 736.0
If we take 390 away from 417, we end up with 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 65

On to step 6:
271 divided by 65 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 7364.0
Deduct 260 from 271 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
65 can be fit into 110 1 times, resulting in a remainder of 45.
The next digit of our result is 1. 
Result so far: 7364.1
Deduct 65 from 110 and we're left 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.

Going ahead to step 8:
450 divided by 65 is 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 7364.16
Subtract 390 from 450 to get 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 9:
65 goes into 600 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 7364.169
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.

Going ahead to step 10:
When dividing 150 by 65, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 7364.1692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
If we divide 200 by 65, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 7364.16923
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.

Let's proceed to step 12:
50 divided by 65 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7364.16923
If we subtract 0 from 50, we 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.

On to step 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 7364.1692307
Deduct 455 from 500 and we're left 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.

Moving on to step 14:
450 divided by 65 is 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 7364.16923076
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 7364.16923076 and a remainder of 6e-08.