Question

dividing multi-digit decimals
find each quotient.
1 ( 28.8 div 1.2 )
2 ( 2.88 div 1.2 )
3 ( 0.288 div 1.2 )
4 ( 11.34 div 0.35 )
5 ( 113.4 div 3.5 )
6 ( 113.4 div 35 )
7 ( 37.632 div 51.2 )
8 ( 376.32 div 5.12 )
9 ( 3,763.2 div 0.512 )

Explanation:

Step1: Eliminate divisor decimals

For each problem, multiply dividend and divisor by powers of 10 to make the divisor a whole number, then perform integer division.
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Problem 1: $28.8 \div 1.2$

Step1: Multiply by 10

$28.8 \times 10 = 288$, $1.2 \times 10 = 12$

Step2: Divide integers

$\frac{288}{12} = 24$

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Problem 2: $2.88 \div 1.2$

Step1: Multiply by 10

$2.88 \times 10 = 28.8$, $1.2 \times 10 = 12$

Step2: Divide

$\frac{28.8}{12} = 2.4$

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Problem 3: $0.288 \div 1.2$

Step1: Multiply by 10

$0.288 \times 10 = 2.88$, $1.2 \times 10 = 12$

Step2: Divide

$\frac{2.88}{12} = 0.24$

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Problem 4: $11.34 \div 0.35$

Step1: Multiply by 100

$11.34 \times 100 = 1134$, $0.35 \times 100 = 35$

Step2: Divide integers

$\frac{1134}{35} = 32.4$

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Problem 5: $113.4 \div 3.5$

Step1: Multiply by 10

$113.4 \times 10 = 1134$, $3.5 \times 10 = 35$

Step2: Divide integers

$\frac{1134}{35} = 32.4$

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Problem 6: $113.4 \div 35$

Step1: Divide directly

$\frac{113.4}{35} = 3.24$

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Problem 7: $37.632 \div 51.2$

Step1: Multiply by 1000

$37.632 \times 1000 = 37632$, $51.2 \times 1000 = 51200$

Step2: Simplify and divide

$\frac{37632}{51200} = 0.735$

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Problem 8: $376.32 \div 5.12$

Step1: Multiply by 100

$376.32 \times 100 = 37632$, $5.12 \times 100 = 512$

Step2: Divide integers

$\frac{37632}{512} = 73.5$

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Problem 9: $3763.2 \div 0.512$

Step1: Multiply by 1000

$3763.2 \times 1000 = 3763200$, $0.512 \times 1000 = 512$

Step2: Divide integers

$\frac{3763200}{512} = 7350$

Answer:

1. $24$
2. $2.4$
3. $0.24$
4. $32.4$
5. $32.4$
6. $3.24$
7. $0.735$
8. $73.5$
9. $7350$