82356 ÷ 77 
Our goal is to divide 82356 by 77.

Going ahead to step 1:
77 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 77

Going ahead to step 2:
When dividing 82 by 77, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 77 away from 82, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 77

Advancing to step 3:
If we divide 53 by 77, we get 0 and a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 53, we get 53.
Include the next digit (5) from the dividend after 53, then repeat: 535 / 77

Step 4:
When dividing 535 by 77, we get 6 with a remainder of 73.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtracting 462 from 535 leaves us with 73.
Grab the next digit (6) from the dividend, add it to 73, then carry on: 736 / 77

On to step 5:
If we divide 736 by 77, we get 9 and a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 1069.0
The remainder is 43 after subtracting 693 from 736.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 6:
77 goes into 430 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 1069.5
Deduct 385 from 430 and we're left with 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 7:
When dividing 450 by 77, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 1069.55
Subtract 385 from 450 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The quotient of the division is 1069.55, and the remainder is 0.065.