We're dividing 21678 by 46 
Our goal is to divide 21678 by 46.

Advancing to step 1:
When dividing 2 by 46, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 46

Moving on to step 2:
46 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 46

Step 3:
When dividing 216 by 46, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 32 after subtracting 184 from 216.
Append the next digit (7) from the dividend to 32 and continue with: 327 / 46

On to step 4:
46 can be fit into 327 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
The remainder is 5 after subtracting 322 from 327.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 46

Going ahead to step 5:
If we divide 58 by 46, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 471.0
Subtract 46 from 58 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 6:
46 goes into 120 2 times with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 471.2
Deduct 92 from 120 and we're left 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 7:
280 divided by 46 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 471.26
Subtract 276 from 280 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.

Step 8:
46 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 471.26
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
400 divided by 46 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 471.2608
Subtracting 368 from 400 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
46 can be fit into 320 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 471.26086
The remainder is 44 after subtracting 276 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
When dividing 440 by 46, we get 9 with a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 471.260869
If we take 414 away from 440, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 12:
If we divide 260 by 46, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 471.2608695
Subtracting 230 from 260 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
46 can be fit into 300 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 471.26086956
The remainder is 24 after subtracting 276 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 471.26086956 with a balance of 2.4e-08.