How to solve (1142)/(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 (1142)/(11) | Equatix

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Question

$$\frac{ 1142 }{ 11 }$$

Evaluate

$\frac{1142}{11}\approx 103.818181818$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1142$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1142}\\\end{array}$$

Since $1$ is less than $11$, use the next digit $1$ from dividend $1142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1142}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $1142$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1142}\\\end{array}$$

Find closest multiple of $11$ to $11$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $11$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1142}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}0\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $1142$

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1142}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}4\\\end{array}$$

Since $4$ is less than $11$, use the next digit $2$ from dividend $1142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}010\phantom{6}\\11\overline{)1142}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}4\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $1142$

$$\begin{array}{l}\phantom{11)}010\phantom{7}\\11\overline{)1142}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}42\\\end{array}$$

Find closest multiple of $11$ to $42$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $42$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}0103\phantom{8}\\11\overline{)1142}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}42\\\phantom{11)}\underline{\phantom{99}33\phantom{}}\\\phantom{11)999}9\\\end{array}$$

Since $9$ is less than $11$, stop the division. The reminder is $9$. The topmost line $0103$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $103$.

$$\text{Quotient: }103$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{2 \cdot 571}{11} = 103\frac{9}{11} = 103.81818181818181$