Question

the image shows multiple division problems in a long - division format with tens and ones place labels. each problem has a divisor, a two - digit dividend, and spaces (colored blue and green) for filling in the quotient and the product of the divisor and quotient. for example, there are problems like \\(9\overline{)63}\\), \\(9\overline{)27}\\), \\(8\overline{)24}\\), etc. the task is likely to solve these division problems by finding the quotient for each and filling in the appropriate spaces.

Answer:

To solve these division problems, we use the concept of dividing a two - digit number by a one - digit number. The general formula for division is \(\text{Dividend}\div\text{Divisor}=\text{Quotient}\), and we can also verify it using \(\text{Divisor}\times\text{Quotient}=\text{Dividend}\). Let's take a few examples:

Example 1: \(63\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times7 = 63\).

Step 2: Determine the quotient

So, when we divide 63 by 9, the quotient is 7.

Example 2: \(27\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times3=27\).

Step 2: Determine the quotient

So, when we divide 27 by 9, the quotient is 3.

Example 3: \(24\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times3 = 24\).

Step 2: Determine the quotient

So, when we divide 24 by 8, the quotient is 3.

Example 4: \(32\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times4=32\).

Step 2: Determine the quotient

So, when we divide 32 by 8, the quotient is 4.

Example 5: \(81\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times9 = 81\).

Step 2: Determine the quotient

So, when we divide 81 by 9, the quotient is 9.

Example 6: \(24\div6\)

Step 1: Recall the multiplication table of 6

We know that \(6\times4 = 24\).

Step 2: Determine the quotient

So, when we divide 24 by 6, the quotient is 4.

Example 7: \(36\div6\)

Step 1: Recall the multiplication table of 6

We know that \(6\times6=36\).

Step 2: Determine the quotient

So, when we divide 36 by 6, the quotient is 6.

Example 8: \(14\div7\)

Step 1: Recall the multiplication table of 7

We know that \(7\times2 = 14\).

Step 2: Determine the quotient

So, when we divide 14 by 7, the quotient is 2.

Example 9: \(36\div6\)

Step 1: Recall the multiplication table of 6

We know that \(6\times6 = 36\).

Step 2: Determine the quotient

So, when we divide 36 by 6, the quotient is 6.

Example 10: \(36\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times4=36\).

Step 2: Determine the quotient

So, when we divide 36 by 9, the quotient is 4.

Example 11: \(16\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times2 = 16\).

Step 2: Determine the quotient

So, when we divide 16 by 8, the quotient is 2.

Example 12: \(24\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times3=24\).

Step 2: Determine the quotient

So, when we divide 24 by 8, the quotient is 3.

Example 13: \(54\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times6 = 54\).

Step 2: Determine the quotient

So, when we divide 54 by 9, the quotient is 6.

Example 14: \(16\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times2=16\).

Step 2: Determine the quotient

So, when we divide 16 by 8, the quotient is 2.

Example 15: \(35\div7\)

Step 1: Recall the multiplication table of 7

We know that \(7\times5 = 35\).

Step 2: Determine the quotient

So, when we divide 35 by 7, the quotient is 5.

Example 16: \(27\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times3 = 27\).

Step 2: Determine the quotient

So, when we divide 27 by 9, the quotient is 3.

Example 17: \(45\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times5=45\).

Step 2: Determine the quotient

So, when we divide 45 by 9, the quotient is 5.

Example 18: \(48\div6\)

Step 1: Recall the multiplication table of 6

We know that \(6\times8 = 48\).

Step 2: Determine the quotient

So, when we divide 48 by 6, the quotient is 8.

Example 19: \(63\div7\)

Step 1: Recall the multiplication table of 7

We know that \(7\times9 = 63\).

Step 2: Determine the quotient

So, when we divide 63 by 7, the quotient is 9.

Example 20: \(72\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times8=72\).

Step 2: Determine the quotient

So, when we divide 72 by 9, the quotient is 8.

Example 21: \(32\div8\)

Step 1: Recall the multiplication table of 8

We know that \(8\times4 = 32\).

Step 2: Determine the quotient

So, when we divide 32 by 8, the quotient is 4.

Example 22: \(27\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times3=27\).

Step 2: Determine the quotient

So, when we divide 27 by 9, the quotient is 3.

Example 23: \(45\div9\)

Step 1: Recall the multiplication table of 9

We know that \(9\times5 = 45\).

Step 2: Determine the quotient

So, when we divide 45 by 9, the quotient is 5.

Example 24: \(14\div7\)

Step 1: Recall the multiplication table of 7

We know that \(7\times2=14\).

Step 2: Determine the quotient

So, when we divide 14 by 7, the quotient is 2.

Example 25: \(12\div6\)

Step 1: Recall the multiplication table of 6

We know that \(6\times2 = 12\).

Step 2: Determine the quotient

So, when we divide 12 by 6, the quotient is 2.

The quotients for each division (from top - left to bottom - right) are:

7, 3, 3, 4, 9,

4, 6, 2, 6, 4,

2, 3, 6, 2, 5,

3, 5, 8, 9, 8,

4, 3, 5, 2, 2

(We can verify each of these by multiplying the divisor with the quotient to get the dividend. For example, for \(63\div9\), \(9\times7 = 63\); for \(27\div9\), \(9\times3=27\) and so on.)