Question

use the partial quotients method to find 486 ÷ 13. fill in the missing numbers.
13)486
-130 ← □×13
□
-130 ← □×13
□
-130 ← □×13
□
-91 ← □×13
□

Explanation:

Step1: First partial - quotient

We know that $10\times13 = 130$. Since $486\div13$, we start by subtracting $130$ from $486$. $486-130 = 356$. The first number we multiply 13 by is 10.

Step2: Second partial - quotient

Subtract another 130 from 356. $356 - 130=226$. The second number we multiply 13 by is also 10.

Step3: Third partial - quotient

Subtract another 130 from 226. $226-130 = 96$. The third number we multiply 13 by is 10.

Step4: Fourth partial - quotient

We note that $7\times13=91$. Subtract 91 from 96. $96 - 91=5$.

Step5: Calculate the quotient

The sum of the partial - quotients is $10 + 10+10 + 7=37$.

Answer:

The quotient is 37 and the remainder is 5. The filled - in numbers (from top to bottom, left to right) are: 37, 5, 10, 356, 10, 226, 10, 96, 7, 5.