Let's divide 678454 by 21
Our goal is to divide 678454 by 21.

Step 1:
If we divide 6 by 21, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 21

Moving on to step 2:
If we divide 67 by 21, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 63 from 67 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 21

On to step 3:
If we divide 48 by 21, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Deduct 42 from 48 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 21

On to step 4:
21 goes into 64 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 323.0
If we take 63 away from 64, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 21

Let's proceed to step 5:
21 can be fit into 15 0 times, resulting in a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 3230.0
If we take 0 away from 15, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 21

Moving on to step 6:
154 divided by 21 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 32307.0
Deduct 147 from 154 and we're left 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.

Moving on to step 7:
70 divided by 21 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 32307.3
Subtracting 63 from 70 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.

On to step 8:
21 can be fit into 70 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 32307.33
Deduct 63 from 70 and we're left 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.

The quotient of the division is 32307.33, and the remainder is 0.007.