We're dividing 668657 by 65 
We want to divide 668657 by 65.

Step 1:
If we divide 6 by 65, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 65

Moving on to step 2:
65 can be fit into 66 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 65 from 66.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 65

Going ahead to step 3:
If we divide 18 by 65, we get 0 and a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 18 leaves us with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 65

Let's proceed to step 4:
65 goes into 186 2 times with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 102.0
If we subtract 130 from 186, we get 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 65

Going ahead to step 5:
65 goes into 565 8 times with a remainder of 45.
The number 8 becomes the next digit in our result. 
Result so far: 1028.0
Subtracting 520 from 565 leaves us with 45.
Append the next digit (7) from the dividend to 45 and continue with: 457 / 65

Let's proceed to step 6:
65 can be fit into 457 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 10287.0
If we take 455 away from 457, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
65 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10287.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 10287.03
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 65, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10287.03
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 10287.0307
Deduct 455 from 500 and we're left 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.

Moving on to step 11:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 10287.03076
Deduct 390 from 450 and we're left 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.

Going ahead to step 12:
When dividing 600 by 65, we get 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 10287.030769
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.

Going ahead to step 13:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 10287.0307692
Subtracting 130 from 150 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
65 goes into 200 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 10287.03076923
Subtracting 195 from 200 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 10287.03076923 with a remainder of 5e-09.