268666 ÷ 38 
We're looking to find how many times 38 goes into 268666.

Step 1:
When dividing 2 by 38, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 38

Step 2:
38 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 38

On to step 3:
If we divide 268 by 38, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 7.0
If we take 266 away from 268, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 38

Advancing to step 4:
38 goes into 26 0 times with a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
If we take 0 away from 26, we end up with 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 38

On to step 5:
38 goes into 266 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 707.0
Deduct 266 from 266 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 38

Moving on to step 6:
38 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 7070.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 38, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 7070.1
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.

Moving on to step 8:
If we divide 220 by 38, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 7070.15
Subtract 190 from 220 to get 30.
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 9:
38 goes into 300 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 7070.157
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
If we divide 340 by 38, we get 8 and a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 7070.1578
Subtracting 304 from 340 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.

Advancing to step 11:
When dividing 360 by 38, we get 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 7070.15789
If we take 342 away from 360, we end up 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.

Advancing to step 12:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 7070.157894
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.

On to step 13:
38 goes into 280 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 7070.1578947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
When dividing 140 by 38, we get 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 7070.15789473
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 7070.15789473 and a remainder of 2.6e-08.