Sure! Let's perform the long division of 784 by 33 step by step.
1. Set up the division: Write 784 under the long division bar and 33 outside of it, like this:
```
_______
33 | 784
```
2. Divide the first part: Determine how many times 33 goes into the first few digits of 784. Since 33 is a two-digit number, we start by looking at the first two digits of 784 (i.e., 78).
- 33 goes into 78 two times.
Write 2 above the long division bar:
```
_2____
33 | 784
```
3. Multiply and subtract: Multiply 33 by 2, which gives us 66. Now, subtract 66 from 78.
```
_2____
33 | 784
- 66
------
12
```
4. Bring down the next digit: Bring down the next digit of the dividend, which is 4, making it 124.
```
_2__
33 | 784
- 66
------
124
```
5. Divide again: Now, determine how many times 33 goes into 124.
- 33 goes into 124 three times.
Write 3 above the long division bar next to the 2:
```
_23__
33 | 784
- 66
------
124
```
6. Multiply and subtract again: Multiply 33 by 3, which gives us 99. Now, subtract 99 from 124.
```
_23_
33 | 784
- 66
------
124
- 99
------
25
```
7. Determine the remainder: Since there are no more digits to bring down from the dividend, 25 is the remainder.
Therefore, the quotient is 23 and the remainder is 25.
So, when you divide 784 by 33:
- The quotient is 23
- The remainder is 25
