Subjects arithmetic

Division Ariel A0Bd4C

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Question: User: 3584\div 32 using Ariel model
1. **State the problem:** We need to divide $3584$ by $32$ using the Ariel model. 2. **Recall the division formula:** Division is finding how many times the divisor fits into the dividend, i.e., $$\text{Dividend} \div \text{Divisor} = \text{Quotient}.$$ Here, $$3584 \div 32 = ?$$ 3. **Break down the division using the Ariel model:** The Ariel model involves breaking the dividend into parts that are easier to divide by the divisor. 4. **Decompose $3584$ into parts divisible by $32$: $$3584 = 3200 + 384.$$** 5. **Divide each part by $32$: $$3200 \div 32 = 100$$ because $32 \times 100 = 3200$. 6. **Divide the remaining part: $$384 \div 32 = 12$$ because $32 \times 12 = 384$. 7. **Add the partial quotients: $$100 + 12 = 112.$$** 8. **Final answer:** $$3584 \div 32 = 112.$$