75733 ÷ 84 
We want to figure out the number of times 75733 can be divided by 84.

On to step 1:
When dividing 7 by 84, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 84

Let's proceed to step 2:
When dividing 75 by 84, we get 0 with a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Grab the next digit (7) from the dividend, add it to 75, then carry on: 757 / 84

On to step 3:
If we divide 757 by 84, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 756 from 757, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 84

Advancing to step 4:
13 divided by 84 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 90.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 84

Going ahead to step 5:
When dividing 133 by 84, we get 1 with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 901.0
If we subtract 84 from 133, we 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.

On to step 6:
The number 84 fits into 490 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 901.5
If we subtract 420 from 490, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 7:
84 goes into 700 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 901.58
If we subtract 672 from 700, 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.

Step 8:
If we divide 280 by 84, we get 3 and a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 901.583
Subtract 252 from 280 to 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.

Going ahead to step 9:
The number 84 fits into 280 3 times, leaving a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 901.5833
Subtract 252 from 280 to 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.

Our division results in 901.5833 with a remaining 0.00028.