How to solve (297990)/(18)

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 (297990)/(18) | Equatix

Use the $1^{st}$ digit $2$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)297990}\\\end{array}$$

Since $2$ is less than $18$, use the next digit $9$ from dividend $297990$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)297990}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)297990}\\\end{array}$$

Find closest multiple of $18$ to $29$. We see that $1 \times 18 = 18$ is the nearest. Now subtract $18$ from $29$ to get reminder $11$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}11\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\end{array}$$

Find closest multiple of $18$ to $117$. We see that $6 \times 18 = 108$ is the nearest. Now subtract $108$ from $117$ to get reminder $9$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{18)}016\phantom{6}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}9\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}016\phantom{7}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\end{array}$$

Find closest multiple of $18$ to $99$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $99$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}0165\phantom{8}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\phantom{18)}\underline{\phantom{99}90\phantom{99}}\\\phantom{18)999}9\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}0165\phantom{9}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\phantom{18)}\underline{\phantom{99}90\phantom{99}}\\\phantom{18)999}99\\\end{array}$$

Find closest multiple of $18$ to $99$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $99$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}01655\phantom{10}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\phantom{18)}\underline{\phantom{99}90\phantom{99}}\\\phantom{18)999}99\\\phantom{18)}\underline{\phantom{999}90\phantom{9}}\\\phantom{18)9999}9\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $297990$

$$\begin{array}{l}\phantom{18)}01655\phantom{11}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\phantom{18)}\underline{\phantom{99}90\phantom{99}}\\\phantom{18)999}99\\\phantom{18)}\underline{\phantom{999}90\phantom{9}}\\\phantom{18)9999}90\\\end{array}$$

Find closest multiple of $18$ to $90$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $90$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}016555\phantom{12}\\18\overline{)297990}\\\phantom{18)}\underline{\phantom{}18\phantom{9999}}\\\phantom{18)}117\\\phantom{18)}\underline{\phantom{}108\phantom{999}}\\\phantom{18)99}99\\\phantom{18)}\underline{\phantom{99}90\phantom{99}}\\\phantom{18)999}99\\\phantom{18)}\underline{\phantom{999}90\phantom{9}}\\\phantom{18)9999}90\\\phantom{18)}\underline{\phantom{9999}90\phantom{}}\\\phantom{18)999999}0\\\end{array}$$

Since $0$ is less than $18$, stop the division. The reminder is $0$. The topmost line $016555$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $16555$.

$$\text{Quotient: }16555$$ $$\text{Reminder: }0$$

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