How to solve 9138762/242

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 9138762/242 | Equatix

Use the $1^{st}$ digit $9$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}\phantom{1}\\242\overline{)9138762}\\\end{array}$$

Since $9$ is less than $242$, use the next digit $1$ from dividend $9138762$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{242)}0\phantom{2}\\242\overline{)9138762}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}0\phantom{3}\\242\overline{)9138762}\\\end{array}$$

Since $91$ is less than $242$, use the next digit $3$ from dividend $9138762$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{242)}00\phantom{4}\\242\overline{)9138762}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}00\phantom{5}\\242\overline{)9138762}\\\end{array}$$

Find closest multiple of $242$ to $913$. We see that $3 \times 242 = 726$ is the nearest. Now subtract $726$ from $913$ to get reminder $187$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{242)}003\phantom{6}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}187\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}003\phantom{7}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\end{array}$$

Find closest multiple of $242$ to $1878$. We see that $7 \times 242 = 1694$ is the nearest. Now subtract $1694$ from $1878$ to get reminder $184$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{242)}0037\phantom{8}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}184\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}0037\phantom{9}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\end{array}$$

Find closest multiple of $242$ to $1847$. We see that $7 \times 242 = 1694$ is the nearest. Now subtract $1694$ from $1847$ to get reminder $153$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{242)}00377\phantom{10}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\phantom{242)}\underline{\phantom{9}1694\phantom{99}}\\\phantom{242)99}153\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}00377\phantom{11}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\phantom{242)}\underline{\phantom{9}1694\phantom{99}}\\\phantom{242)99}1536\\\end{array}$$

Find closest multiple of $242$ to $1536$. We see that $6 \times 242 = 1452$ is the nearest. Now subtract $1452$ from $1536$ to get reminder $84$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{242)}003776\phantom{12}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\phantom{242)}\underline{\phantom{9}1694\phantom{99}}\\\phantom{242)99}1536\\\phantom{242)}\underline{\phantom{99}1452\phantom{9}}\\\phantom{242)9999}84\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $9138762$

$$\begin{array}{l}\phantom{242)}003776\phantom{13}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\phantom{242)}\underline{\phantom{9}1694\phantom{99}}\\\phantom{242)99}1536\\\phantom{242)}\underline{\phantom{99}1452\phantom{9}}\\\phantom{242)9999}842\\\end{array}$$

Find closest multiple of $242$ to $842$. We see that $3 \times 242 = 726$ is the nearest. Now subtract $726$ from $842$ to get reminder $116$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{242)}0037763\phantom{14}\\242\overline{)9138762}\\\phantom{242)}\underline{\phantom{}726\phantom{9999}}\\\phantom{242)}1878\\\phantom{242)}\underline{\phantom{}1694\phantom{999}}\\\phantom{242)9}1847\\\phantom{242)}\underline{\phantom{9}1694\phantom{99}}\\\phantom{242)99}1536\\\phantom{242)}\underline{\phantom{99}1452\phantom{9}}\\\phantom{242)9999}842\\\phantom{242)}\underline{\phantom{9999}726\phantom{}}\\\phantom{242)9999}116\\\end{array}$$

Since $116$ is less than $242$, stop the division. The reminder is $116$. The topmost line $0037763$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $37763$.

$$\text{Quotient: }37763$$ $$\text{Reminder: }116$$

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