We're dividing 19679 by 38 
Our goal is to divide 19679 by 38.

Moving on to step 1:
38 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 38

Advancing to step 2:
19 divided by 38 is 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 38

Let's proceed to step 3:
38 goes into 196 5 times with a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 6 after subtracting 190 from 196.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 38

Let's proceed to step 4:
38 goes into 67 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we take 38 away from 67, we end up with 29.
Grab the next digit (9) from the dividend, add it to 29, then carry on: 299 / 38

Advancing to step 5:
299 divided by 38 is 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 517.0
If we subtract 266 from 299, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 6:
38 goes into 330 8 times with a remainder of 26.
The next digit of our result is 8. 
Result so far: 517.8
If we take 304 away from 330, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
When dividing 260 by 38, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 517.86
Subtracting 228 from 260 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 517.868
If we subtract 304 from 320, 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.

Going ahead to step 9:
160 divided by 38 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 517.8684
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.

Going ahead to step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 517.86842
If we take 76 away from 80, we end up 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.

Advancing to step 11:
If we divide 40 by 38, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 517.868421
If we subtract 38 from 40, we 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.

Step 12:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 517.868421
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
If we divide 200 by 38, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 517.86842105
If we take 190 away from 200, 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.

The quotient of the division is 517.86842105, and the remainder is 1e-08.