We look at the division of 781966 by 38 
Let's see how many times 38 fits into 781966.

Moving on to step 1:
When dividing 7 by 38, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 38

Let's proceed to step 2:
78 divided by 38 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 76 away from 78, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 38

Let's proceed to step 3:
If we divide 21 by 38, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we take 0 away from 21, we end up with 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 38

Let's proceed to step 4:
If we divide 219 by 38, we get 5 and a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 205.0
Subtracting 190 from 219 leaves us with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 38

Step 5:
38 can be fit into 296 7 times, resulting in a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 2057.0
If we take 266 away from 296, we end up with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 38

Let's proceed to step 6:
The number 38 fits into 306 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 20578.0
The remainder is 2 after subtracting 304 from 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
38 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 20578.0
Subtracting 0 from 20 leaves us with 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 8:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 20578.05
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
When dividing 100 by 38, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 20578.052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
240 divided by 38 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 20578.0526
If we take 228 away from 240, we end up with 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 11:
The number 38 fits into 120 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 20578.05263
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.

Let's proceed to step 12:
38 can be fit into 60 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 20578.052631
Subtract 38 from 60 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 13:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 20578.0526315
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 14:
If we divide 300 by 38, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 20578.05263157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 20578.05263157, with a leftover of 3.4e-08.