Let's divide 1785 by 78
Let's see how many times 78 fits into 1785.

On to step 1:
If we divide 1 by 78, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 78

Going ahead to step 2:
The number 78 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 78

On to step 3:
The number 78 fits into 178 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 156 from 178 and we're left with 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 78

Let's proceed to step 4:
225 divided by 78 is 2 with a remainder of 69.
The next digit of our result is 2. 
Result so far: 22.0
Subtracting 156 from 225 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 5:
78 goes into 690 8 times with a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 22.8
If we take 624 away from 690, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 6:
If we divide 660 by 78, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 22.88
Subtracting 624 from 660 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.

The quotient of the division is 22.88, and the remainder is 0.036.