We're dividing 77182 by 84 
We want to figure out the number of times 77182 can be divided by 84.

Let's proceed to step 1:
84 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 84

Advancing to step 2:
If we divide 77 by 84, we get 0 and a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Bring next digit (1) of the dividend behind the 77 and repeat the process: 771 / 84

Going ahead to step 3:
If we divide 771 by 84, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 756 from 771 leaves us with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 84

Step 4:
158 divided by 84 is 1 with a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 91.0
The remainder is 74 after subtracting 84 from 158.
Grab the next digit (2) from the dividend, add it to 74, then carry on: 742 / 84

Going ahead to step 5:
84 goes into 742 8 times with a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 918.0
Subtracting 672 from 742 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 6:
84 goes into 700 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 918.8
If we take 672 away from 700, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
84 goes into 280 3 times with a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 918.83
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
The number 84 fits into 280 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 918.833
The remainder is 28 after subtracting 252 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 918.833 and a remainder of 0.0028.