633668 divided by 84 
We want to figure out the number of times 633668 can be divided by 84.

Step 1:
When dividing 6 by 84, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 84

Going ahead to step 2:
84 goes into 63 0 times with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Grab the next digit (3) from the dividend, add it to 63, then carry on: 633 / 84

Let's proceed to step 3:
If we divide 633 by 84, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 45 after subtracting 588 from 633.
Append the next digit (6) from the dividend to 45 and continue with: 456 / 84

Moving on to step 4:
When dividing 456 by 84, we get 5 with a remainder of 36.
Write down 5 as next digit of the result. 
Result so far: 75.0
Deduct 420 from 456 and we're left with 36.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 84

On to step 5:
366 divided by 84 is 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 754.0
Subtract 336 from 366 to get 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 84

On to step 6:
308 divided by 84 is 3 with a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 7543.0
The remainder is 56 after subtracting 252 from 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
When dividing 560 by 84, we get 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 7543.6
Subtracting 504 from 560 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
If we divide 560 by 84, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 7543.66
Subtracting 504 from 560 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 7543.66 and a remainder of 0.056.