378211 ÷ 19 
We're looking to find how many times 19 goes into 378211.

Going ahead to step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 19

Advancing to step 2:
When dividing 37 by 19, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 19 from 37 to get 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 19

Step 3:
19 goes into 188 9 times with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtracting 171 from 188 leaves us with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 19

Moving on to step 4:
19 can be fit into 172 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 199.0
The remainder is 1 after subtracting 171 from 172.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 19

Going ahead to step 5:
The number 19 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 1990.0
Subtract 0 from 11 to get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 19

Step 6:
19 goes into 111 5 times with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 19905.0
Subtracting 95 from 111 leaves us 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 7:
160 divided by 19 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 19905.8
Subtracting 152 from 160 leaves us 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.

Going ahead to step 8:
80 divided by 19 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19905.84
Subtracting 76 from 80 leaves us 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.

Let's proceed to step 9:
40 divided by 19 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 19905.842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 19905.8421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 19905.8421
If we take 0 away from 10, we end up 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.

Advancing to step 12:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 19905.842105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 19905.8421052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 19905.84210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 19905.84210526 with a balance of 6e-09.