Let's divide 682919 by 65
We're looking to find how many times 65 goes into 682919.

Advancing to step 1:
6 divided by 65 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 65

Advancing to step 2:
If we divide 68 by 65, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 65 from 68 to get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 65

Let's proceed to step 3:
65 goes into 32 0 times with a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 32, we end up with 32.
Grab the next digit (9) from the dividend, add it to 32, then carry on: 329 / 65

Let's proceed to step 4:
65 can be fit into 329 5 times, resulting in a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 105.0
If we subtract 325 from 329, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 65

Step 5:
If we divide 41 by 65, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 1050.0
If we subtract 0 from 41, we get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 65

Moving on to step 6:
When dividing 419 by 65, we get 6 with a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 10506.0
Deduct 390 from 419 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
When dividing 290 by 65, we get 4 with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 10506.4
If we take 260 away from 290, 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.

Moving on to step 8:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 10506.44
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.

In conclusion, the division gives 10506.44 with a balance of 0.04.