To solve 4.56 divided by 65.60. Perform long division.​

Answer:Let's solve 4.56 ÷ 65.60 using long division.---Step 1: Convert to whole numbersTo make long division easier, remove the decimals by multiplying both numbers by 100:\frac{4.56}{65.60} = \frac{456}{6560}---Step 2: Set up long divisionNow divide 456 ÷ 6560.Since 456 is less than 6560, the answer will be less than 1.Start adding decimal places:456.000000 ÷ 6560---Step 3: Perform divisionNow divide:6560 goes into 456 → 0 timesAdd decimal point:Try 4560 ÷ 6560 → still 0 timesTry 45600 ÷ 6560:6560 × 6 = 39,3606560 × 7 = 45,920 → close to 45600So:6560 × 6 = 39,360 → too small6560 × 7 = 45,920 → good!Write 0.7Now subtract:45600 - 45920 = -320 \quad \text{(too much)}So use 6 instead:6560 × 6 = 39360 45600 - 39360 = 6240Bring down a 0 → 624006560 × 9 = 590406560 × 10 = 65600 → too bigUse 9:62400 - 59040 = 3360Bring down another 0 → 336006560 × 5 = 3280033600 - 32800 = 800Bring down 0 → 80006560 × 1 = 65608000 - 6560 = 1440Bring down 0 → 144006560 × 2 = 1312014400 - 13120 = 1280---So far we have:456 ÷ 6560 = 0.069512...---Final Answer (rounded):{0.0695} {(rounded to 4 decimal places)}

Answered by jesusdevera711 | 2025-07-24