How to solve 6975189/23

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 6975189/23 | Equatix

Use the $1^{st}$ digit $6$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)6975189}\\\end{array}$$

Since $6$ is less than $23$, use the next digit $9$ from dividend $6975189$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)6975189}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)6975189}\\\end{array}$$

Find closest multiple of $23$ to $69$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $69$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}0\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}7\\\end{array}$$

Since $7$ is less than $23$, use the next digit $5$ from dividend $6975189$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}030\phantom{6}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}7\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}030\phantom{7}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\end{array}$$

Find closest multiple of $23$ to $75$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $75$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}0303\phantom{8}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}6\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}0303\phantom{9}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\end{array}$$

Find closest multiple of $23$ to $61$. We see that $2 \times 23 = 46$ is the nearest. Now subtract $46$ from $61$ to get reminder $15$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{23)}03032\phantom{10}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\phantom{23)}\underline{\phantom{999}46\phantom{99}}\\\phantom{23)999}15\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}03032\phantom{11}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\phantom{23)}\underline{\phantom{999}46\phantom{99}}\\\phantom{23)999}158\\\end{array}$$

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.

$$\begin{array}{l}\phantom{23)}030326\phantom{12}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\phantom{23)}\underline{\phantom{999}46\phantom{99}}\\\phantom{23)999}158\\\phantom{23)}\underline{\phantom{999}138\phantom{9}}\\\phantom{23)9999}20\\\end{array}$$

Use the $7^{th}$ digit $9$ from dividend $6975189$

$$\begin{array}{l}\phantom{23)}030326\phantom{13}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\phantom{23)}\underline{\phantom{999}46\phantom{99}}\\\phantom{23)999}158\\\phantom{23)}\underline{\phantom{999}138\phantom{9}}\\\phantom{23)9999}209\\\end{array}$$

Find closest multiple of $23$ to $209$. We see that $9 \times 23 = 207$ is the nearest. Now subtract $207$ from $209$ to get reminder $2$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{23)}0303269\phantom{14}\\23\overline{)6975189}\\\phantom{23)}\underline{\phantom{}69\phantom{99999}}\\\phantom{23)99}75\\\phantom{23)}\underline{\phantom{99}69\phantom{999}}\\\phantom{23)999}61\\\phantom{23)}\underline{\phantom{999}46\phantom{99}}\\\phantom{23)999}158\\\phantom{23)}\underline{\phantom{999}138\phantom{9}}\\\phantom{23)9999}209\\\phantom{23)}\underline{\phantom{9999}207\phantom{}}\\\phantom{23)999999}2\\\end{array}$$

Since $2$ is less than $23$, stop the division. The reminder is $2$. The topmost line $0303269$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $303269$.

$$\text{Quotient: }303269$$ $$\text{Reminder: }2$$

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