Subjects arithmetic

Decimal Division Fa88C5

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1. **State the problem:** Divide 3.36 by 4 using long division. 2. **Recall the division rule:** When dividing decimals, if the divisor is a whole number, you can divide as usual and place the decimal point in the quotient directly above its position in the dividend. 3. **Set up the division:** We write 4 \(\div\) 3.36. 4. **Divide step-by-step:** - Divide 4 into 3: 4 does not go into 3, so write 0. - Consider 33 (from 3.3): 4 goes into 33 eight times because \(4 \times 8 = 32\). - Subtract 32 from 33: remainder 1. - Bring down the next digit 6 to make 16. - Divide 4 into 16: 4 times because \(4 \times 4 = 16\). - Subtract 16 from 16: remainder 0. 5. **Place the decimal point:** The decimal point in the quotient is placed directly above the decimal point in the dividend. 6. **Write the quotient:** The answer is 0.84. 7. **Verification:** Multiply 0.84 by 4 to check: $$4 \times 0.84 = 3.36$$ which matches the dividend. **Final answer:** $$\boxed{0.84}$$