Let's divide 84214 by 23
Our goal is to divide 84214 by 23.

Advancing to step 1:
23 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 23

On to step 2:
23 can be fit into 84 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 15 after subtracting 69 from 84.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 23

Moving on to step 3:
When dividing 152 by 23, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
The remainder is 14 after subtracting 138 from 152.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 23

Moving on to step 4:
If we divide 141 by 23, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 366.0
Subtracting 138 from 141 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 23

Step 5:
23 goes into 34 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 3661.0
Deduct 23 from 34 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
23 can be fit into 110 4 times, resulting in a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 3661.4
Deduct 92 from 110 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
The number 23 fits into 180 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 3661.47
The remainder is 19 after subtracting 161 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
If we divide 190 by 23, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 3661.478
Deduct 184 from 190 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
23 can be fit into 60 2 times, resulting in a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 3661.4782
Subtracting 46 from 60 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
140 divided by 23 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 3661.47826
The remainder is 2 after subtracting 138 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
The number 23 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 3661.47826
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
200 divided by 23 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 3661.4782608
If we subtract 184 from 200, 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.

Step 13:
23 goes into 160 6 times with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 3661.47826086
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 3661.47826086 with a balance of 2.2e-08.