21826 ÷ 78 
Our goal is to divide 21826 by 78.

Let's proceed to step 1:
78 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 78

Step 2:
78 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 78

Step 3:
218 divided by 78 is 2 with a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 156 from 218 leaves us with 62.
Include the next digit (2) from the dividend after 62, then repeat: 622 / 78

On to step 4:
If we divide 622 by 78, we get 7 and a remainder of 76.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Deduct 546 from 622 and we're left with 76.
Append the next digit (6) from the dividend to 76 and continue with: 766 / 78

Step 5:
When dividing 766 by 78, we get 9 with a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 279.0
Deduct 702 from 766 and we're left with 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 6:
78 goes into 640 8 times with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 279.8
Subtract 624 from 640 to 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.

Advancing to step 7:
160 divided by 78 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 279.82
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
If we divide 40 by 78, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 279.82
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.

Advancing to step 9:
78 goes into 400 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 279.8205
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
The number 78 fits into 100 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 279.82051
If we subtract 78 from 100, 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.

Moving on to step 11:
If we divide 220 by 78, we get 2 and a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 279.820512
If we subtract 156 from 220, we 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.

Advancing to step 12:
The number 78 fits into 640 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 279.8205128
Deduct 624 from 640 and we're left 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.

Let's proceed to step 13:
78 can be fit into 160 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 279.82051282
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 279.82051282 with a balance of 4e-09.