How to solve (1155)/(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 (1155)/(11) | Equatix

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Question

$$\frac{ 1155 }{ 11 }$$

Evaluate

$105$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1155$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1155}\\\end{array}$$

Since $1$ is less than $11$, use the next digit $1$ from dividend $1155$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1155}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $1155$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1155}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1155}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}0\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $1155$

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1155}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}5\\\end{array}$$

Since $5$ is less than $11$, use the next digit $5$ from dividend $1155$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}010\phantom{6}\\11\overline{)1155}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}5\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $1155$

$$\begin{array}{l}\phantom{11)}010\phantom{7}\\11\overline{)1155}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}55\\\end{array}$$

Find closest multiple of $11$ to $55$. We see that $5 \times 11 = 55$ is the nearest. Now subtract $55$ from $55$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{11)}0105\phantom{8}\\11\overline{)1155}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}55\\\phantom{11)}\underline{\phantom{99}55\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since $0$ is less than $11$, stop the division. The reminder is $0$. The topmost line $0105$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $105$.

$$\text{Quotient: }105$$ $$\text{Reminder: }0$$

Show Solution

Factor

$3\times 5\times 7$