Let's divide 379289 by 19
We're looking to find how many times 19 goes into 379289.

Moving on to step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 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
The remainder is 18 after subtracting 19 from 37.
Grab the next digit (9) from the dividend, add it to 18, then carry on: 189 / 19

Let's proceed to step 3:
19 goes into 189 9 times with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 171 from 189 to get 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 19

Going ahead to step 4:
182 divided by 19 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 199.0
Deduct 171 from 182 and we're left with 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 19

Going ahead to step 5:
19 goes into 118 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1996.0
Deduct 114 from 118 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 19

Moving on to step 6:
When dividing 49 by 19, we get 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 19962.0
Deduct 38 from 49 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 19, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 19962.5
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.

Step 8:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 19962.57
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 9:
19 goes into 170 8 times with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 19962.578
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 19962.5789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
If we divide 90 by 19, we get 4 and a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 19962.57894
Subtracting 76 from 90 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.

Going ahead to step 12:
When dividing 140 by 19, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 19962.578947
If we take 133 away from 140, we end up 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.

Advancing to step 13:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 19962.5789473
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.

Advancing to step 14:
If we divide 130 by 19, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 19962.57894736
Deduct 114 from 130 and we're left 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.

Our division results in 19962.57894736 with a remaining 1.6e-08.