We look at the division of 52591 by 84 
We're looking to find how many times 84 goes into 52591.

Step 1:
The number 84 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 84

Let's proceed to step 2:
52 divided by 84 is 0 with a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 52 after subtracting 0 from 52.
Include the next digit (5) from the dividend after 52, then repeat: 525 / 84

On to step 3:
When dividing 525 by 84, we get 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 504 from 525 and we're left with 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 84

Step 4:
If we divide 219 by 84, we get 2 and a remainder of 51.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
The remainder is 51 after subtracting 168 from 219.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 84

Moving on to step 5:
84 goes into 511 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 626.0
Subtracting 504 from 511 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
70 divided by 84 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 626.0
If we subtract 0 from 70, 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:
When dividing 700 by 84, we get 8 with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 626.08
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.

Step 8:
84 can be fit into 280 3 times, resulting in a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 626.083
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.

Moving on to step 9:
When dividing 280 by 84, we get 3 with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 626.0833
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.

The quotient of the division is 626.0833, and the remainder is 0.00028.