We look at the division of 465676 by 65 
We want to divide 465676 by 65.

Let's proceed to step 1:
The number 65 fits into 4 0 times, leaving 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.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 65

On to step 2:
46 divided by 65 is 0 with a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Include the next digit (5) from the dividend after 46, then repeat: 465 / 65

Step 3:
If we divide 465 by 65, we get 7 and a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 455 from 465 and we're left with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 65

On to step 4:
If we divide 106 by 65, we get 1 and a remainder of 41.
The next digit of our result is 1. 
Result so far: 71.0
Subtract 65 from 106 to get 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 65

Advancing to step 5:
65 can be fit into 417 6 times, resulting in a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 716.0
Subtract 390 from 417 to get 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 65

Step 6:
The number 65 fits into 276 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7164.0
The remainder is 16 after subtracting 260 from 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
65 goes into 160 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 7164.2
Deduct 130 from 160 and we're left 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.

Step 8:
300 divided by 65 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7164.24
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.

Going ahead to step 9:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7164.246
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.

On to step 10:
If we divide 100 by 65, we get 1 and a remainder of 35.
The next digit of our result is 1. 
Result so far: 7164.2461
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.

Going ahead to step 11:
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: 7164.24615
Subtract 325 from 350 to get 25.
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:
When dividing 250 by 65, we get 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 7164.246153
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.

Advancing to step 13:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 7164.2461538
The remainder is 30 after subtracting 520 from 550.
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 14:
65 goes into 300 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 7164.24615384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7164.24615384 with a balance of 4e-08.