21555321 ÷ 414 
Our goal is to divide 21555321 by 414.

Moving on to step 1:
The number 414 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 414

Moving on to step 2:
The number 414 fits into 21 0 times, leaving a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 414

On to step 3:
The number 414 fits into 215 0 times, leaving a remainder of 215.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 215, we end up with 215.
Take the next digit (5) from the dividend and append it to 215, then repeat: 2155 / 414

Going ahead to step 4:
2155 divided by 414 is 5 with a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 85 after subtracting 2070 from 2155.
Bring next digit (5) of the dividend behind the 85 and repeat the process: 855 / 414

Moving on to step 5:
414 goes into 855 2 times with a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
If we subtract 828 from 855, we get 27.
Fetch the next digit (3) from the dividend, attach it to 27 and continue: 273 / 414

Let's proceed to step 6:
414 goes into 273 0 times with a remainder of 273.
Record the quotient 0 as the next digit in the result. 
Result so far: 520.0
Deduct 0 from 273 and we're left with 273.
Fetch the next digit (2) from the dividend, attach it to 273 and continue: 2732 / 414

Let's proceed to step 7:
When dividing 2732 by 414, we get 6 with a remainder of 248.
Put 6 as the next digit of the answer. 
Result so far: 5206.0
Deduct 2484 from 2732 and we're left with 248.
Fetch the next digit (1) from the dividend, attach it to 248 and continue: 2481 / 414

Going ahead to step 8:
414 can be fit into 2481 5 times, resulting in a remainder of 411.
Record the quotient 5 as the next digit in the result. 
Result so far: 52065.0
If we subtract 2070 from 2481, we get 411.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4110, and continue the process.

Advancing to step 9:
414 can be fit into 4110 9 times, resulting in a remainder of 384.
Use 9 as the next digit of our solution. 
Result so far: 52065.9
The remainder is 384 after subtracting 3726 from 4110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Step 10:
The number 414 fits into 3840 9 times, leaving a remainder of 114.
The next digit of our result is 9. 
Result so far: 52065.99
The remainder is 114 after subtracting 3726 from 3840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

In conclusion, the division gives 52065.99 with a balance of 0.114.