We look at the division of 108778 by 38 
We're looking to find how many times 38 goes into 108778.

Advancing to step 1:
The number 38 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 38

Moving on to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 38

Moving on to step 3:
The number 38 fits into 108 2 times, leaving a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 76 away from 108, we end up with 32.
Grab the next digit (7) from the dividend, add it to 32, then carry on: 327 / 38

Step 4:
When dividing 327 by 38, we get 8 with a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
If we subtract 304 from 327, we get 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 38

On to step 5:
When dividing 237 by 38, we get 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 286.0
If we take 228 away from 237, we end up with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 38

Step 6:
38 goes into 98 2 times with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2862.0
If we subtract 76 from 98, we 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.

Advancing to step 7:
When dividing 220 by 38, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2862.5
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.

Let's proceed to step 8:
300 divided by 38 is 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 2862.57
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.

On to step 9:
If we divide 340 by 38, we get 8 and a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 2862.578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
38 goes into 360 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 2862.5789
Deduct 342 from 360 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.

Going ahead to step 11:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 2862.57894
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
If we divide 280 by 38, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 2862.578947
If we take 266 away from 280, we end up 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.

Moving on to step 13:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 2862.5789473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 2862.57894736
If we subtract 228 from 260, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 2862.57894736, and the remainder is 3.2e-08.