91727 ÷ 65 
We're looking to find how many times 65 goes into 91727.

Going ahead to step 1:
If we divide 9 by 65, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 65

Moving on to step 2:
65 can be fit into 91 1 times, resulting in a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 65 from 91 to get 26.
Grab the next digit (7) from the dividend, add it to 26, then carry on: 267 / 65

Step 3:
267 divided by 65 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 260 from 267 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 65

Moving on to step 4:
If we divide 72 by 65, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 141.0
If we take 65 away from 72, we end up with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 65

Step 5:
The number 65 fits into 77 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1411.0
The remainder is 12 after subtracting 65 from 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 6:
If we divide 120 by 65, we get 1 and a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 1411.1
Subtract 65 from 120 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.

Step 7:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 1411.18
Subtracting 520 from 550 leaves us 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.

Going ahead to step 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 1411.184
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.

Step 9:
If we divide 400 by 65, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 1411.1846
Subtracting 390 from 400 leaves us 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.

Let's proceed to step 10:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 1411.18461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
If we divide 350 by 65, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 1411.184615
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.

Advancing to step 12:
When dividing 250 by 65, we get 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 1411.1846153
Subtracting 195 from 250 leaves us 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.

Let's proceed to step 13:
When dividing 550 by 65, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 1411.18461538
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.

Our division results in 1411.18461538 with a remaining 3e-08.