We're dividing 497665 by 84 
We want to figure out the number of times 497665 can be divided by 84.

Step 1:
The number 84 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 84

Let's proceed to step 2:
If we divide 49 by 84, we get 0 and a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 49 leaves us with 49.
Take the next digit (7) from the dividend and append it to 49, then repeat: 497 / 84

Step 3:
If we divide 497 by 84, we get 5 and a remainder of 77.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 77 after subtracting 420 from 497.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 84

On to step 4:
776 divided by 84 is 9 with a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 756 from 776, we get 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 84

Going ahead to step 5:
When dividing 206 by 84, we get 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 592.0
The remainder is 38 after subtracting 168 from 206.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 84

Step 6:
The number 84 fits into 385 4 times, leaving a remainder of 49.
Write down 4 as next digit of the result. 
Result so far: 5924.0
Subtract 336 from 385 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
If we divide 490 by 84, we get 5 and a remainder of 70.
The next digit of our result is 5. 
Result so far: 5924.5
The remainder is 70 after subtracting 420 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
If we divide 700 by 84, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 5924.58
The remainder is 28 after subtracting 672 from 700.
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 9:
If we divide 280 by 84, we get 3 and a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 5924.583
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
84 can be fit into 280 3 times, resulting in a remainder of 28.
The next digit of our result is 3. 
Result so far: 5924.5833
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.

Our division results in 5924.5833 with a remaining 0.00028.