7.4 Use long division to calculate: $$ 2456 \div 32 $$

Question

UpStudy AI · Accepted Answer

1. Write the dividend and divisor:

$$
\text{Dividend} = 2456,\quad \text{Divisor} = 32.
$$

2. Determine how many times $$32$$ fits into the first part of the dividend. Consider the first three digits, $$245$$.

$$
32 \times 7 = 224,\quad 32 \times 8 = 256.
$$

Since $$256 > 245$$, $$32$$ goes into $$245$$ exactly $$7$$ times.

3. Multiply the divisor by $$7$$ and subtract from $$245$$:

$$
245 - (32 \times 7) = 245 - 224 = 21.
$$

4. Bring down the next digit ($$6$$) to make $$216$$.

5. Determine how many times $$32$$ fits into $$216$$:

$$
32 \times 6 = 192,\quad 32 \times 7 = 224.
$$

Since $$224 > 216$$, $$32$$ fits into $$216$$ $$6$$ times.

6. Multiply the divisor by $$6$$ and subtract from $$216$$:

$$
216 - (32 \times 6) = 216 - 192 = 24.
$$

7. Since there are no more digits to bring down, the division is complete. The quotient is $$76$$ and the remainder is $$24$$.

The final result is:

$$
2456 \div 32 = 76 \text{ remainder } 24.
$$
$$2456 \div 32 = 76$$ with a remainder of $$24$$.

7.4 Use long division to calculate: \( 2456 \div 32 \)