784765 divided by 42 
We want to divide 784765 by 42.

Let's proceed to step 1:
If we divide 7 by 42, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 42

Moving on to step 2:
When dividing 78 by 42, we get 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 42 away from 78, we end up with 36.
Take the next digit (4) from the dividend and append it to 36, then repeat: 364 / 42

Let's proceed to step 3:
When dividing 364 by 42, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we subtract 336 from 364, we get 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 42

On to step 4:
If we divide 287 by 42, we get 6 and a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 186.0
If we take 252 away from 287, we end up with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 42

Moving on to step 5:
42 can be fit into 356 8 times, resulting in a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 1868.0
The remainder is 20 after subtracting 336 from 356.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 42

Moving on to step 6:
When dividing 205 by 42, we get 4 with a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 18684.0
Deduct 168 from 205 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
The number 42 fits into 370 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 18684.8
If we take 336 away from 370, we end up 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.

Moving on to step 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18684.88
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 18684.88, and the remainder is 0.004.