We look at the division of 213955 by 19 
Let's see how many times 19 fits into 213955.

Step 1:
19 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
The remainder is 2 after subtracting 0 from 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 19

Going ahead to step 2:
19 goes into 21 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 19 away from 21, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 19

Step 3:
19 goes into 23 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 19 away from 23, we end up with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 19

On to step 4:
19 can be fit into 49 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtracting 38 from 49 leaves us with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 19

Advancing to step 5:
19 goes into 115 6 times with a remainder of 1.
The next digit of our result is 6. 
Result so far: 1126.0
If we subtract 114 from 115, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 19

Going ahead to step 6:
If we divide 15 by 19, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 11260.0
If we subtract 0 from 15, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 11260.7
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
19 goes into 170 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 11260.78
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
19 goes into 180 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 11260.789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
19 goes into 90 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 11260.7894
Deduct 76 from 90 and we're left 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.

Advancing to step 11:
19 goes into 140 7 times with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 11260.78947
Subtracting 133 from 140 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.

Moving on to step 12:
19 goes into 70 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 11260.789473
Deduct 57 from 70 and we're left 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.

Let's proceed to step 13:
19 goes into 130 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 11260.7894736
If we subtract 114 from 130, we 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.

Let's proceed to step 14:
If we divide 160 by 19, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 11260.78947368
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 11260.78947368 with a remaining 8e-09.