We look at the division of 665601 by 65 
Let's see how many times 65 fits into 665601.

Moving on to step 1:
The number 65 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 65

Step 2:
The number 65 fits into 66 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 65 from 66 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 65

Going ahead to step 3:
The number 65 fits into 15 0 times, leaving a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 65

Let's proceed to step 4:
If we divide 156 by 65, we get 2 and a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
If we subtract 130 from 156, we get 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 65

Advancing to step 5:
260 divided by 65 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 1024.0
If we subtract 260 from 260, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 65

Going ahead to step 6:
1 divided by 65 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 10240.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
65 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10240.0
Deduct 0 from 10 and we're left 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.

Going ahead to step 8:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 10240.01
If we subtract 65 from 100, we get 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 9:
65 goes into 350 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10240.015
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.

On to step 10:
250 divided by 65 is 3 with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 10240.0153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 11:
When dividing 550 by 65, we get 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 10240.01538
If we take 520 away from 550, 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.

Advancing to step 12:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 10240.015384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 10240.0153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
If we divide 100 by 65, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 10240.01538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 10240.01538461 and a remainder of 3.5e-08.