666117 ÷ 65 
We want to figure out the number of times 666117 can be divided by 65.

Going ahead to step 1:
65 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 65

Going ahead to step 2:
65 can be fit into 66 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 1 after subtracting 65 from 66.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 65

Going ahead to step 3:
If we divide 16 by 65, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 65

Let's proceed to step 4:
When dividing 161 by 65, we get 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 102.0
If we subtract 130 from 161, we get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 65

On to step 5:
311 divided by 65 is 4 with a remainder of 51.
Put 4 as the next digit of the answer. 
Result so far: 1024.0
If we take 260 away from 311, we end up with 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 65

Moving on to step 6:
65 can be fit into 517 7 times, resulting in a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 10247.0
The remainder is 62 after subtracting 455 from 517.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
65 goes into 620 9 times with a remainder of 35.
Put 9 as the next digit of the answer. 
Result so far: 10247.9
Subtract 585 from 620 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.

Step 8:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10247.95
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
When dividing 250 by 65, we get 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 10247.953
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 10:
65 goes into 550 8 times with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 10247.9538
Deduct 520 from 550 and we're left 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 11:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 10247.95384
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.

Advancing to step 12:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 10247.953846
If we take 390 away from 400, we end up 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.

Advancing to step 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 10247.9538461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 10247.95384615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 10247.95384615 and a remainder of 2.5e-08.