1086 ÷ 65 
We want to figure out the number of times 1086 can be divided by 65.

Step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 65

Let's proceed to step 2:
If we divide 10 by 65, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 65

Moving on to step 3:
The number 65 fits into 108 1 times, leaving a remainder of 43.
The next digit of our result is 1. 
Result so far: 1.0
If we take 65 away from 108, we end up with 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 65

Step 4:
When dividing 436 by 65, we get 6 with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 390 from 436 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 5:
The number 65 fits into 460 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 16.7
If we take 455 away from 460, we end up 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.

On to step 6:
When dividing 50 by 65, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 16.7
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 7:
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: 16.707
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The next digit of our result is 6. 
Result so far: 16.7076
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.

Let's proceed to step 9:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 16.70769
If we take 585 away from 600, we end up 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.

Advancing to step 10:
65 goes into 150 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 16.707692
Subtract 130 from 150 to get 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 11:
200 divided by 65 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 16.7076923
Subtract 195 from 200 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 16.7076923
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 16.7076923 with a balance of 5e-08.