The problem is to complete the following pattern of division problems: $7186 \div \underline{\hspace{1cm}} = 718.6$ $7186 \div \underline{\hspace{1cm}} = 71.86$ $7186 \div \underline{\hspace{1cm}} = 7.186$ $7186 \div \underline{\hspace{1cm}} = 0.7186$

ArithmeticDivisionDecimalsPattern Recognition
2025/5/29

1. Problem Description

The problem is to complete the following pattern of division problems:
7186÷=718.67186 \div \underline{\hspace{1cm}} = 718.6
7186÷=71.867186 \div \underline{\hspace{1cm}} = 71.86
7186÷=7.1867186 \div \underline{\hspace{1cm}} = 7.186
7186÷=0.71867186 \div \underline{\hspace{1cm}} = 0.7186

2. Solution Steps

We need to find the divisor in each equation. To do this, we can rearrange the equations to solve for the missing divisor. If a÷b=ca \div b = c, then b=a÷cb = a \div c.
For the first equation, 7186÷x=718.67186 \div x = 718.6, so x=7186÷718.6=10x = 7186 \div 718.6 = 10.
For the second equation, 7186÷x=71.867186 \div x = 71.86, so x=7186÷71.86=100x = 7186 \div 71.86 = 100.
For the third equation, 7186÷x=7.1867186 \div x = 7.186, so x=7186÷7.186=1000x = 7186 \div 7.186 = 1000.
For the fourth equation, 7186÷x=0.71867186 \div x = 0.7186, so x=7186÷0.7186=10000x = 7186 \div 0.7186 = 10000.

3. Final Answer

7186÷10=718.67186 \div 10 = 718.6
7186÷100=71.867186 \div 100 = 71.86
7186÷1000=7.1867186 \div 1000 = 7.186
7186÷10000=0.71867186 \div 10000 = 0.7186

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