81365 ÷ 77 
We want to figure out the number of times 81365 can be divided by 77.

Let's proceed to step 1:
If we divide 8 by 77, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 77

Let's proceed to step 2:
When dividing 81 by 77, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 77 from 81 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 77

Going ahead to step 3:
77 goes into 43 0 times with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 77

Advancing to step 4:
When dividing 436 by 77, we get 5 with a remainder of 51.
The next digit of our result is 5. 
Result so far: 105.0
Deduct 385 from 436 and we're left with 51.
Take the next digit (5) from the dividend and append it to 51, then repeat: 515 / 77

Going ahead to step 5:
77 goes into 515 6 times with a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 1056.0
If we take 462 away from 515, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 6:
77 can be fit into 530 6 times, resulting in a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 1056.6
Deduct 462 from 530 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 7:
77 goes into 680 8 times with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 1056.68
Deduct 616 from 680 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 8:
If we divide 640 by 77, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 1056.688
Subtract 616 from 640 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 1056.688 and a remainder of 0.0024.