Question

use the partial - quotients method to find 666÷38. fill in the missing numbers.
38)666
-380 ← ×38
-266 ← ×38

Explanation:

Step1: First partial - quotient

We know that \(38\times10 = 380\). So the first number we subtract from 666 is 380, and the first partial - quotient is 10.
\[666-380 = 286\]

Step2: Second partial - quotient

We note that \(38\times7=266\). So the second partial - quotient is 7.
\[286 - 266=20\]
The quotient is the sum of the partial - quotients \(10 + 7=17\) and the remainder is 20.

Answer:

The quotient is 17 and the remainder is 20. In the long - division form:
The first blank above the division bar is 17, the second blank (remainder) is 20, the blank next to \(38\times\) is 10, the result of \(666 - 380\) is 286, and the blank next to the second \(38\times\) is 7.