254419 ÷ 21 
Our goal is to divide 254419 by 21.

Let's proceed to step 1:
The number 21 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 21

Moving on to step 2:
The number 21 fits into 25 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 21 from 25 leaves us with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 21

Step 3:
21 can be fit into 44 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 42 from 44 to get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 21

On to step 4:
21 can be fit into 24 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 121.0
If we take 21 away from 24, we end up with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 21

On to step 5:
21 goes into 31 1 times with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1211.0
If we take 21 away from 31, we end up with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 21

On to step 6:
When dividing 109 by 21, we get 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 12115.0
If we take 105 away from 109, we end up 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.

Step 7:
When dividing 40 by 21, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 12115.1
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
21 can be fit into 190 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12115.19
The remainder is 1 after subtracting 189 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
When dividing 10 by 21, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12115.19
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
21 goes into 100 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 12115.1904
If we take 84 away from 100, we end up 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.

Step 11:
The number 21 fits into 160 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 12115.19047
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
130 divided by 21 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 12115.190476
If we subtract 126 from 130, we 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.

Going ahead to step 13:
When dividing 40 by 21, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 12115.1904761
The remainder is 19 after subtracting 21 from 40.
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 14:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 12115.19047619
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 12115.19047619, and the remainder is 1e-09.