How to solve (456)/(24)

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 (456)/(24) | Equatix

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Question

$$\frac{ 456 }{ 24 }$$

Evaluate

$19$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $456$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)456}\\\end{array}$$

Since $4$ is less than $24$, use the next digit $5$ from dividend $456$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)456}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $456$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)456}\\\end{array}$$

Find closest multiple of $24$ to $45$. We see that $1 \times 24 = 24$ is the nearest. Now subtract $24$ from $45$ to get reminder $21$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)456}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}21\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $456$

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)456}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}216\\\end{array}$$

Find closest multiple of $24$ to $216$. We see that $9 \times 24 = 216$ is the nearest. Now subtract $216$ from $216$ to get reminder $0$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{24)}019\phantom{6}\\24\overline{)456}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}216\\\phantom{24)}\underline{\phantom{}216\phantom{}}\\\phantom{24)999}0\\\end{array}$$

Since $0$ is less than $24$, stop the division. The reminder is $0$. The topmost line $019$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $19$.

$$\text{Quotient: }19$$ $$\text{Reminder: }0$$

Show Solution

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