Question

question 1-5
what is 10,296 ÷ 66?

Explanation:

Step1: Perform the division

We need to calculate \(10296\div66\). We can do this by long division or by simplifying the fraction. Let's use long division.
First, we see how many times 66 goes into 102. \(66\times1 = 66\), \(102 - 66 = 36\). Bring down the 9 to make 369.
\(66\times5 = 330\), \(369 - 330 = 39\). Bring down the 6 to make 396.
\(66\times6 = 396\), \(396 - 396 = 0\). So adding up the quotients: \(1\times100 + 5\times10 + 6\times1 = 156\).
Or we can simplify the division: \(\frac{10296}{66}=\frac{10296\div6}{66\div6}=\frac{1716}{11}\). Then \(\frac{1716}{11} = 156\) (since \(11\times156 = 1716\)).

Step2: Verify the result

Multiply the quotient (156) by the divisor (66) to check: \(156\times66=(150 + 6)\times66 = 150\times66 + 6\times66 = 9900 + 396 = 10296\), which matches the dividend. So the division is correct.

Answer:

156