426697 ÷ 65 
We want to figure out the number of times 426697 can be divided by 65.

Going ahead to step 1:
4 divided by 65 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

Going ahead to step 2:
If we divide 42 by 65, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 65

Advancing to step 3:
65 goes into 426 6 times with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 36 after subtracting 390 from 426.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 65

On to step 4:
65 goes into 366 5 times with a remainder of 41.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 325 from 366, we get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 65

Step 5:
When dividing 419 by 65, we get 6 with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 656.0
If we subtract 390 from 419, we get 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 65

Step 6:
65 goes into 297 4 times with a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 6564.0
Subtracting 260 from 297 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
When dividing 370 by 65, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6564.5
Subtract 325 from 370 to get 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 8:
65 goes into 450 6 times with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 6564.56
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 6564.569
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.

Step 10:
150 divided by 65 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 6564.5692
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.

On to step 11:
When dividing 200 by 65, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6564.56923
Subtract 195 from 200 to 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.

Moving on to step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 6564.56923
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.

Let's proceed to step 13:
500 divided by 65 is 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6564.5692307
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.

On to step 14:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6564.56923076
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.

After the division, we end up with 6564.56923076 and a remainder of 6e-08.