We're dividing 218200 by 84 
We're looking to find how many times 84 goes into 218200.

On to step 1:
If we divide 2 by 84, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 84

Moving on to step 2:
21 divided by 84 is 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 84

On to step 3:
The number 84 fits into 218 2 times, leaving a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 168 away from 218, we end up with 50.
Include the next digit (2) from the dividend after 50, then repeat: 502 / 84

On to step 4:
If we divide 502 by 84, we get 5 and a remainder of 82.
The next digit of our result is 5. 
Result so far: 25.0
If we subtract 420 from 502, we get 82.
Take the next digit (0) from the dividend and append it to 82, then repeat: 820 / 84

Step 5:
If we divide 820 by 84, we get 9 and a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 259.0
Subtract 756 from 820 to get 64.
Include the next digit (0) from the dividend after 64, then repeat: 640 / 84

Let's proceed to step 6:
If we divide 640 by 84, we get 7 and a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 2597.0
Subtracting 588 from 640 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
The number 84 fits into 520 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 2597.6
Subtracting 504 from 520 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 2597.61
If we take 84 away from 160, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 9:
84 goes into 760 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 2597.619
Subtract 756 from 760 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
84 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 2597.619
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
When dividing 400 by 84, we get 4 with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 2597.61904
Subtract 336 from 400 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 12:
The number 84 fits into 640 7 times, leaving a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 2597.619047
If we subtract 588 from 640, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
84 can be fit into 520 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 2597.6190476
If we subtract 504 from 520, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
The number 84 fits into 160 1 times, leaving a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 2597.61904761
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 2597.61904761 with a balance of 7.6e-08.