How to solve (37)/(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 (37)/(11) | Equatix

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Question

$$\frac{ 37 }{ 11 }$$

Evaluate

$\frac{37}{11}\approx 3.363636364$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $37$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)37}\\\end{array}$$

Since $3$ is less than $11$, use the next digit $7$ from dividend $37$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)37}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $37$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)37}\\\end{array}$$

Find closest multiple of $11$ to $37$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $37$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)37}\\\phantom{11)}\underline{\phantom{}33\phantom{}}\\\phantom{11)9}4\\\end{array}$$

Since $4$ is less than $11$, stop the division. The reminder is $4$. The topmost line $03$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{37}{11} = 3\frac{4}{11} = 3.3636363636363638$