Let's divide 768278 by 42
We want to figure out the number of times 768278 can be divided by 42.

Going ahead to step 1:
42 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 42

On to step 2:
The number 42 fits into 76 1 times, leaving a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 42 from 76 leaves us with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 42

Step 3:
When dividing 348 by 42, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtract 336 from 348 to get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 42

Going ahead to step 4:
When dividing 122 by 42, we get 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 182.0
Subtracting 84 from 122 leaves us with 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 42

Let's proceed to step 5:
If we divide 387 by 42, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 1829.0
Deduct 378 from 387 and we're left with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 42

Going ahead to step 6:
If we divide 98 by 42, we get 2 and a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 18292.0
If we subtract 84 from 98, we get 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 7:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 18292.3
If we take 126 away from 140, 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.

On to step 8:
42 goes into 140 3 times with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 18292.33
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 18292.33 and a remainder of 0.014.