379421 divided by 19 
We want to figure out the number of times 379421 can be divided by 19.

On to step 1:
3 divided by 19 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 19

Advancing to step 2:
If we divide 37 by 19, we get 1 and a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 19 from 37 and we're left with 18.
Grab the next digit (9) from the dividend, add it to 18, then carry on: 189 / 19

Going ahead to step 3:
When dividing 189 by 19, we get 9 with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 171 from 189 to get 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 19

Advancing to step 4:
The number 19 fits into 184 9 times, leaving a remainder of 13.
The next digit of our result is 9. 
Result so far: 199.0
Deduct 171 from 184 and we're left with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 19

Let's proceed to step 5:
If we divide 132 by 19, we get 6 and a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 1996.0
If we take 114 away from 132, we end up with 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 19

Advancing to step 6:
181 divided by 19 is 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 19969.0
If we subtract 171 from 181, we 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 7:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 19969.5
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 19 fits into 50 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 19969.52
Subtract 38 from 50 to 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 9:
When dividing 120 by 19, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 19969.526
If we take 114 away from 120, we end up 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.

Moving on to step 10:
60 divided by 19 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 19969.5263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
When dividing 30 by 19, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 19969.52631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
If we divide 110 by 19, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 19969.526315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 19969.5263157
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.

Let's proceed to step 14:
When dividing 170 by 19, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 19969.52631578
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.

The quotient of the division is 19969.52631578, and the remainder is 1.8e-08.