Question

use the partial quotients method to find 876 ÷ 22. fill in the missing numbers.

Explanation:

Step1: First partial - quotient

We know that $22\times10 = 220$. $876-220 = 656$. The first number we multiply 22 by is 10.

Step2: Second partial - quotient

Again, subtracting 220 from 656 ($656 - 220=436$), and $220\div22 = 10$, so the second number we multiply 22 by is 10.

Step3: Third partial - quotient

Subtracting 220 from 436 ($436 - 220 = 216$), and since $220\div22=10$, the third number we multiply 22 by is 10.

Step4: Fourth partial - quotient

We know that $22\times9=198$, and $216 - 198 = 18$. The number we multiply 22 by is 9.

Step5: Calculate the quotient

The sum of the partial - quotients is $10 + 10+10 + 9=39$. The remainder is 18.

Answer:

The quotient is 39 and the remainder is 18. The filled - in numbers from top to bottom, left to right are: 39, 18, 10, 656, 10, 436, 10, 216, 9.