We look at the division of 42268 by 76 
We're looking to find how many times 76 goes into 42268.

Let's proceed to step 1:
The number 76 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 76

Going ahead to step 2:
If we divide 42 by 76, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 76

Moving on to step 3:
The number 76 fits into 422 5 times, leaving a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 380 away from 422, we end up with 42.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 76

Going ahead to step 4:
If we divide 426 by 76, we get 5 and a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Subtract 380 from 426 to get 46.
Take the next digit (8) from the dividend and append it to 46, then repeat: 468 / 76

Going ahead to step 5:
76 can be fit into 468 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 556.0
If we subtract 456 from 468, we get 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 6:
76 can be fit into 120 1 times, resulting in a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 556.1
Deduct 76 from 120 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
If we divide 440 by 76, we get 5 and a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 556.15
If we subtract 380 from 440, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
If we divide 600 by 76, we get 7 and a remainder of 68.
Record the quotient 7 as the next digit in the result. 
Result so far: 556.157
The remainder is 68 after subtracting 532 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 9:
76 can be fit into 680 8 times, resulting in a remainder of 72.
The next digit of our result is 8. 
Result so far: 556.1578
Subtract 608 from 680 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
If we divide 720 by 76, we get 9 and a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 556.15789
Subtracting 684 from 720 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 11:
When dividing 360 by 76, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 556.157894
The remainder is 56 after subtracting 304 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
76 goes into 560 7 times with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 556.1578947
Subtract 532 from 560 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 13:
76 goes into 280 3 times with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 556.15789473
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 556.15789473 and a remainder of 5.2e-08.