Question

use the standard algorithm to find 407 ÷ 11. how many times does 11 go into 40? 3 times, with a remainder of 7 how many times does 11 go into 77? times, with a remainder of? \\11 \overline{)407}\\-33\\\\77\\

Explanation:

Step1: Determine how many times 11 goes into 77

We know that \( 11\times7 = 77 \), so we divide 77 by 11.
\( 77\div11 = 7 \)

Step2: Find the remainder

To find the remainder, we use the formula \( \text{remainder} = \text{dividend}-\text{divisor}\times\text{quotient} \). Here, the dividend is 77, the divisor is 11, and the quotient is 7.
\( 77 - 11\times7 = 77 - 77 = 0 \)

Answer:

7 times, with a remainder of 0