The problem is to divide 974 by 33. We need to find the quotient and the remainder. The expression is $974 \div 33$.

1. Problem Description

The problem is to divide 974 by

3

3. We need to find the quotient and the remainder. The expression is $974 \div 33$.

2. Solution Steps

We will perform long division to divide 974 by

3

3.

* First, we check how many times 33 goes into

9

7. $33 \times 2 = 66$

$33 \times 3 = 99$

So, 33 goes into 97 two times. We write 2 above the 7 in

9

7

4.

* Next, multiply 2 by 33, which is

6

6. Subtract 66 from

9

7. $97 - 66 = 31$

* Bring down the 4 from 974 to make

3

1

4.

* Now we need to find how many times 33 goes into

3

1

4. $33 \times 9 = 297$

$33 \times 10 = 330$

So, 33 goes into 314 nine times. We write 9 next to the 2 above

9

7

4.

* Next, multiply 9 by 33, which is

2

9

7. Subtract 297 from

3

1

4. $314 - 297 = 17$

Therefore, $974 \div 33 = 29$ with a remainder of $17$.

3. Final Answer

The quotient is 29 and the remainder is 17.