How to solve 43256 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 43256 24 | Equatix

Use the $1^{st}$ digit $4$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)432561}\\\end{array}$$

Since $4$ is less than $24$, use the next digit $3$ from dividend $432561$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)432561}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)432561}\\\end{array}$$

Find closest multiple of $24$ to $43$. We see that $1 \times 24 = 24$ is the nearest. Now subtract $24$ from $43$ to get reminder $19$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}19\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\end{array}$$

Find closest multiple of $24$ to $192$. We see that $8 \times 24 = 192$ is the nearest. Now subtract $192$ from $192$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{24)}018\phantom{6}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}0\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}018\phantom{7}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}5\\\end{array}$$

Since $5$ is less than $24$, use the next digit $6$ from dividend $432561$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0180\phantom{8}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}5\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}0180\phantom{9}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}56\\\end{array}$$

Find closest multiple of $24$ to $56$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $56$ to get reminder $8$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}01802\phantom{10}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}56\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}8\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $432561$

$$\begin{array}{l}\phantom{24)}01802\phantom{11}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}56\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}81\\\end{array}$$

Find closest multiple of $24$ to $81$. We see that $3 \times 24 = 72$ is the nearest. Now subtract $72$ from $81$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{24)}018023\phantom{12}\\24\overline{)432561}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}192\\\phantom{24)}\underline{\phantom{}192\phantom{999}}\\\phantom{24)999}56\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}81\\\phantom{24)}\underline{\phantom{9999}72\phantom{}}\\\phantom{24)99999}9\\\end{array}$$

Since $9$ is less than $24$, stop the division. The reminder is $9$. The topmost line $018023$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $18023$.

$$\text{Quotient: }18023$$ $$\text{Reminder: }9$$

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