78401 ÷ 82 
Let's see how many times 82 fits into 78401.

Going ahead to step 1:
7 divided by 82 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 82

Let's proceed to step 2:
82 goes into 78 0 times with a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Append the next digit (4) from the dividend to 78 and continue with: 784 / 82

On to step 3:
784 divided by 82 is 9 with a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 46 after subtracting 738 from 784.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 82

Moving on to step 4:
460 divided by 82 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Subtracting 410 from 460 leaves us with 50.
Include the next digit (1) from the dividend after 50, then repeat: 501 / 82

Moving on to step 5:
If we divide 501 by 82, we get 6 and a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 956.0
Subtract 492 from 501 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
82 can be fit into 90 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 956.1
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
82 can be fit into 80 0 times, resulting in a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 956.1
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
The number 82 fits into 800 9 times, leaving a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 956.109
Deduct 738 from 800 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 9:
The number 82 fits into 620 7 times, leaving a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 956.1097
The remainder is 46 after subtracting 574 from 620.
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 10:
82 can be fit into 460 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 956.10975
Deduct 410 from 460 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.

On to step 11:
82 can be fit into 500 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 956.109756
Subtracting 492 from 500 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
The number 82 fits into 80 0 times, leaving a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 956.109756
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 13:
When dividing 800 by 82, we get 9 with a remainder of 62.
Use 9 as the next digit of our solution. 
Result so far: 956.10975609
If we take 738 away from 800, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 956.10975609 with a balance of 6.2e-08.