We look at the division of 456108 by 65 
Our goal is to divide 456108 by 65.

On to step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 65

On to step 2:
The number 65 fits into 45 0 times, leaving a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 65

Moving on to step 3:
456 divided by 65 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 1 after subtracting 455 from 456.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 65

Let's proceed to step 4:
65 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 70.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 65

On to step 5:
110 divided by 65 is 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 701.0
Deduct 65 from 110 and we're left with 45.
Grab the next digit (8) from the dividend, add it to 45, then carry on: 458 / 65

On to step 6:
The number 65 fits into 458 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 7017.0
Deduct 455 from 458 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 65 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 7017.0
Subtract 0 from 30 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 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 7017.04
If we take 260 away from 300, we end up with 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 9:
If we divide 400 by 65, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7017.046
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.

Step 10:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 7017.0461
Subtracting 65 from 100 leaves us 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.

Going ahead to step 11:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 7017.04615
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.

Going ahead to step 12:
65 goes into 250 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 7017.046153
Deduct 195 from 250 and we're left 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.

On to step 13:
When dividing 550 by 65, we get 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 7017.0461538
If we subtract 520 from 550, we 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 14:
65 goes into 300 4 times with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 7017.04615384
If we subtract 260 from 300, we 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.

The quotient of the division is 7017.04615384, and the remainder is 4e-08.