How to solve 342251283/11

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 342251283/11 | Equatix

Use the $1^{st}$ digit $3$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)342251283}\\\end{array}$$

Since $3$ is less than $11$, use the next digit $4$ from dividend $342251283$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)342251283}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)342251283}\\\end{array}$$

Find closest multiple of $11$ to $34$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $34$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}1\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}03\phantom{5}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\end{array}$$

Find closest multiple of $11$ to $12$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $12$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}031\phantom{6}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}1\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}031\phantom{7}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\end{array}$$

Find closest multiple of $11$ to $12$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $12$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}0311\phantom{8}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}1\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}0311\phantom{9}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\end{array}$$

Find closest multiple of $11$ to $15$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $15$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}03111\phantom{10}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}4\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}03111\phantom{11}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\end{array}$$

Find closest multiple of $11$ to $41$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $41$ to get reminder $8$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}031113\phantom{12}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}8\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}031113\phantom{13}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\end{array}$$

Find closest multiple of $11$ to $82$. We see that $7 \times 11 = 77$ is the nearest. Now subtract $77$ from $82$ to get reminder $5$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{11)}0311137\phantom{14}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\phantom{11)}\underline{\phantom{99999}77\phantom{99}}\\\phantom{11)999999}5\\\end{array}$$

Use the $8^{th}$ digit $8$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}0311137\phantom{15}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\phantom{11)}\underline{\phantom{99999}77\phantom{99}}\\\phantom{11)999999}58\\\end{array}$$

Find closest multiple of $11$ to $58$. We see that $5 \times 11 = 55$ is the nearest. Now subtract $55$ from $58$ to get reminder $3$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{11)}03111375\phantom{16}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\phantom{11)}\underline{\phantom{99999}77\phantom{99}}\\\phantom{11)999999}58\\\phantom{11)}\underline{\phantom{999999}55\phantom{9}}\\\phantom{11)9999999}3\\\end{array}$$

Use the $9^{th}$ digit $3$ from dividend $342251283$

$$\begin{array}{l}\phantom{11)}03111375\phantom{17}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\phantom{11)}\underline{\phantom{99999}77\phantom{99}}\\\phantom{11)999999}58\\\phantom{11)}\underline{\phantom{999999}55\phantom{9}}\\\phantom{11)9999999}33\\\end{array}$$

Find closest multiple of $11$ to $33$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $33$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}031113753\phantom{18}\\11\overline{)342251283}\\\phantom{11)}\underline{\phantom{}33\phantom{9999999}}\\\phantom{11)9}12\\\phantom{11)}\underline{\phantom{9}11\phantom{999999}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{99999}}\\\phantom{11)999}15\\\phantom{11)}\underline{\phantom{999}11\phantom{9999}}\\\phantom{11)9999}41\\\phantom{11)}\underline{\phantom{9999}33\phantom{999}}\\\phantom{11)99999}82\\\phantom{11)}\underline{\phantom{99999}77\phantom{99}}\\\phantom{11)999999}58\\\phantom{11)}\underline{\phantom{999999}55\phantom{9}}\\\phantom{11)9999999}33\\\phantom{11)}\underline{\phantom{9999999}33\phantom{}}\\\phantom{11)999999999}0\\\end{array}$$

Since $0$ is less than $11$, stop the division. The reminder is $0$. The topmost line $031113753$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $31113753$.

$$\text{Quotient: }31113753$$ $$\text{Reminder: }0$$

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