We're dividing 102779 by 38 
We want to figure out the number of times 102779 can be divided by 38.

On to step 1:
1 divided by 38 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 38

Going ahead to step 2:
38 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 38

Advancing to step 3:
If we divide 102 by 38, we get 2 and a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 76 from 102 to get 26.
Fetch the next digit (7) from the dividend, attach it to 26 and continue: 267 / 38

Let's proceed to step 4:
38 can be fit into 267 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 266 from 267, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 38

Moving on to step 5:
38 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 270.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 38

Going ahead to step 6:
The number 38 fits into 179 4 times, leaving a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 2704.0
If we subtract 152 from 179, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
38 can be fit into 270 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 2704.7
If we take 266 away from 270, 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 8:
If we divide 40 by 38, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 2704.71
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 9:
The number 38 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 2704.71
Deduct 0 from 20 and we're left 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.

Advancing to step 10:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2704.7105
Deduct 190 from 200 and we're left 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.

Step 11:
If we divide 100 by 38, we get 2 and a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 2704.71052
Subtract 76 from 100 to 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 12:
If we divide 240 by 38, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 2704.710526
Subtracting 228 from 240 leaves us 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.

Step 13:
If we divide 120 by 38, we get 3 and a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 2704.7105263
Subtracting 114 from 120 leaves us 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.

Step 14:
38 goes into 60 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 2704.71052631
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.

The final result is 2704.71052631 with a remainder of 2.2e-08.