Let's divide 21218 by 19
Let's see how many times 19 fits into 21218.

Let's proceed to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 19

On to step 2:
The number 19 fits into 21 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 19 from 21 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 19

Moving on to step 3:
When dividing 22 by 19, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 19 from 22 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 19

On to step 4:
When dividing 31 by 19, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 19 from 31, we get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 19

Let's proceed to step 5:
19 goes into 128 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 1116.0
Subtracting 114 from 128 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 6:
The number 19 fits into 140 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 1116.7
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 19, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 1116.73
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1116.736
The remainder is 16 after subtracting 114 from 130.
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 9:
160 divided by 19 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1116.7368
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 19, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1116.73684
If we subtract 76 from 80, 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.

On to step 11:
40 divided by 19 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 1116.736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1116.7368421
Deduct 19 from 20 and we're left 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.

Let's proceed to step 13:
If we divide 10 by 19, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1116.7368421
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.

In conclusion, the division gives 1116.7368421 with a balance of 1e-08.