826678 ÷ 65 
We want to figure out the number of times 826678 can be divided by 65.

Let's proceed to step 1:
The number 65 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 65

On to step 2:
65 can be fit into 82 1 times, resulting in a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 65 away from 82, we end up with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 65

Moving on to step 3:
65 goes into 176 2 times with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 130 away from 176, we end up with 46.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 65

Moving on to step 4:
If we divide 466 by 65, we get 7 and a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 127.0
Subtract 455 from 466 to get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 65

On to step 5:
65 can be fit into 117 1 times, resulting in a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 1271.0
Subtracting 65 from 117 leaves us with 52.
Bring next digit (8) of the dividend behind the 52 and repeat the process: 528 / 65

On to step 6:
When dividing 528 by 65, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 12718.0
Subtracting 520 from 528 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
65 goes into 80 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 12718.1
If we take 65 away from 80, we end up 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.

On to step 8:
65 goes into 150 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 12718.12
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.

Let's proceed to step 9:
200 divided by 65 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 12718.123
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.

Going ahead to step 10:
65 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 12718.123
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 11:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 12718.12307
If we take 455 away from 500, we end up 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.

Advancing to step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The next digit of our result is 6. 
Result so far: 12718.123076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 13:
600 divided by 65 is 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 12718.1230769
If we take 585 away from 600, we end up 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.

Moving on to step 14:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 12718.12307692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 12718.12307692 and a remainder of 2e-08.