How to solve (9648)/(10)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (9648)/(10) | Equatix

Question

$$\frac{ 9648 }{ 10 }$$

Evaluate

$\frac{4824}{5}=964.8$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9648$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)9648}\\\end{array}$$

Since $9$ is less than $10$, use the next digit $6$ from dividend $9648$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)9648}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $9648$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)9648}\\\end{array}$$

Find closest multiple of $10$ to $96$. We see that $9 \times 10 = 90$ is the nearest. Now subtract $90$ from $96$ to get reminder $6$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{10)}09\phantom{4}\\10\overline{)9648}\\\phantom{10)}\underline{\phantom{}90\phantom{99}}\\\phantom{10)9}6\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $9648$

$$\begin{array}{l}\phantom{10)}09\phantom{5}\\10\overline{)9648}\\\phantom{10)}\underline{\phantom{}90\phantom{99}}\\\phantom{10)9}64\\\end{array}$$

Find closest multiple of $10$ to $64$. We see that $6 \times 10 = 60$ is the nearest. Now subtract $60$ from $64$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{10)}096\phantom{6}\\10\overline{)9648}\\\phantom{10)}\underline{\phantom{}90\phantom{99}}\\\phantom{10)9}64\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}4\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $9648$

$$\begin{array}{l}\phantom{10)}096\phantom{7}\\10\overline{)9648}\\\phantom{10)}\underline{\phantom{}90\phantom{99}}\\\phantom{10)9}64\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}48\\\end{array}$$

Find closest multiple of $10$ to $48$. We see that $4 \times 10 = 40$ is the nearest. Now subtract $40$ from $48$ to get reminder $8$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{10)}0964\phantom{8}\\10\overline{)9648}\\\phantom{10)}\underline{\phantom{}90\phantom{99}}\\\phantom{10)9}64\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}48\\\phantom{10)}\underline{\phantom{99}40\phantom{}}\\\phantom{10)999}8\\\end{array}$$

Since $8$ is less than $10$, stop the division. The reminder is $8$. The topmost line $0964$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $964$.

$$\text{Quotient: }964$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 67}{5} = 964\frac{4}{5} = 964.8$

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Steps For Long Division Method

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