77827 ÷ 24 
We want to figure out the number of times 77827 can be divided by 24.

Advancing to step 1:
7 divided by 24 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 24

Advancing to step 2:
24 can be fit into 77 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 72 from 77 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 24

Moving on to step 3:
24 can be fit into 58 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
The remainder is 10 after subtracting 48 from 58.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 24

Let's proceed to step 4:
24 goes into 102 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 324.0
Subtract 96 from 102 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 24

On to step 5:
67 divided by 24 is 2 with a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 3242.0
Subtract 48 from 67 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 6:
24 can be fit into 190 7 times, resulting in a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 3242.7
Subtract 168 from 190 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
24 can be fit into 220 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 3242.79
Subtracting 216 from 220 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
24 goes into 40 1 times with a remainder of 16.
The next digit of our result is 1. 
Result so far: 3242.791
The remainder is 16 after subtracting 24 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 24, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 3242.7916
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 24, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 3242.79166
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 3242.79166 and a remainder of 1.6e-05.