How to solve 23 2 3 4 5 6 81

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 23 2 3 4 5 6 81 | Equatix

Use the $1^{st}$ digit $1$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)12345681}\\\end{array}$$

Since $1$ is less than $23$, use the next digit $2$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)12345681}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)12345681}\\\end{array}$$

Since $12$ is less than $23$, use the next digit $3$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)12345681}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)12345681}\\\end{array}$$

Find closest multiple of $23$ to $123$. We see that $5 \times 23 = 115$ is the nearest. Now subtract $115$ from $123$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{23)}005\phantom{6}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}8\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}005\phantom{7}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\end{array}$$

Find closest multiple of $23$ to $84$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $84$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}0053\phantom{8}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}15\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}0053\phantom{9}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\end{array}$$

Find closest multiple of $23$ to $155$. We see that $6 \times 23 = 138$ is the nearest. Now subtract $138$ from $155$ to get reminder $17$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{23)}00536\phantom{10}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}17\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}00536\phantom{11}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\end{array}$$

Find closest multiple of $23$ to $176$. We see that $7 \times 23 = 161$ is the nearest. Now subtract $161$ from $176$ to get reminder $15$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{23)}005367\phantom{12}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\phantom{23)}\underline{\phantom{999}161\phantom{99}}\\\phantom{23)9999}15\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}005367\phantom{13}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\phantom{23)}\underline{\phantom{999}161\phantom{99}}\\\phantom{23)9999}158\\\end{array}$$

Find closest multiple of $23$ to $158$. We see that $6 \times 23 = 138$ is the nearest. Now subtract $138$ from $158$ to get reminder $20$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{23)}0053676\phantom{14}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\phantom{23)}\underline{\phantom{999}161\phantom{99}}\\\phantom{23)9999}158\\\phantom{23)}\underline{\phantom{9999}138\phantom{9}}\\\phantom{23)99999}20\\\end{array}$$

Use the $8^{th}$ digit $1$ from dividend $12345681$

$$\begin{array}{l}\phantom{23)}0053676\phantom{15}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\phantom{23)}\underline{\phantom{999}161\phantom{99}}\\\phantom{23)9999}158\\\phantom{23)}\underline{\phantom{9999}138\phantom{9}}\\\phantom{23)99999}201\\\end{array}$$

Find closest multiple of $23$ to $201$. We see that $8 \times 23 = 184$ is the nearest. Now subtract $184$ from $201$ to get reminder $17$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{23)}00536768\phantom{16}\\23\overline{)12345681}\\\phantom{23)}\underline{\phantom{}115\phantom{99999}}\\\phantom{23)99}84\\\phantom{23)}\underline{\phantom{99}69\phantom{9999}}\\\phantom{23)99}155\\\phantom{23)}\underline{\phantom{99}138\phantom{999}}\\\phantom{23)999}176\\\phantom{23)}\underline{\phantom{999}161\phantom{99}}\\\phantom{23)9999}158\\\phantom{23)}\underline{\phantom{9999}138\phantom{9}}\\\phantom{23)99999}201\\\phantom{23)}\underline{\phantom{99999}184\phantom{}}\\\phantom{23)999999}17\\\end{array}$$

Since $17$ is less than $23$, stop the division. The reminder is $17$. The topmost line $00536768$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $536768$.

$$\text{Quotient: }536768$$ $$\text{Reminder: }17$$

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