We're dividing 6779 by 38 
Our goal is to divide 6779 by 38.

Advancing to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 38

On to step 2:
67 divided by 38 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 38 from 67 and we're left with 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 38

On to step 3:
297 divided by 38 is 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 266 from 297 leaves us with 31.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 38

Let's proceed to step 4:
319 divided by 38 is 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 178.0
If we take 304 away from 319, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 5:
If we divide 150 by 38, we get 3 and a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 178.3
Subtracting 114 from 150 leaves us 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.

Step 6:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 178.39
If we subtract 342 from 360, we get 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 7:
When dividing 180 by 38, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 178.394
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
If we divide 280 by 38, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 178.3947
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.

Let's proceed to step 9:
38 goes into 140 3 times with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 178.39473
Deduct 114 from 140 and we're left 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.

Advancing to step 10:
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: 178.394736
Subtract 228 from 260 to 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.

Advancing to step 11:
When dividing 320 by 38, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 178.3947368
Subtracting 304 from 320 leaves us 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.

Moving on to step 12:
38 goes into 160 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 178.39473684
If we subtract 152 from 160, we 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.

The quotient of the division is 178.39473684, and the remainder is 8e-09.