How to solve 3622/112

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 3622/112 | Equatix

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Question

$$3622/112$$

Evaluate

$\frac{1811}{56}\approx 32.339285714$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3622$

$$\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)3622}\\\end{array}$$

Since $3$ is less than $112$, use the next digit $6$ from dividend $3622$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)3622}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $3622$

$$\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)3622}\\\end{array}$$

Since $36$ is less than $112$, use the next digit $2$ from dividend $3622$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)3622}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $3622$

$$\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)3622}\\\end{array}$$

Find closest multiple of $112$ to $362$. We see that $3 \times 112 = 336$ is the nearest. Now subtract $336$ from $362$ to get reminder $26$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{112)}003\phantom{6}\\112\overline{)3622}\\\phantom{112)}\underline{\phantom{}336\phantom{9}}\\\phantom{112)9}26\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $3622$

$$\begin{array}{l}\phantom{112)}003\phantom{7}\\112\overline{)3622}\\\phantom{112)}\underline{\phantom{}336\phantom{9}}\\\phantom{112)9}262\\\end{array}$$

Find closest multiple of $112$ to $262$. We see that $2 \times 112 = 224$ is the nearest. Now subtract $224$ from $262$ to get reminder $38$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{112)}0032\phantom{8}\\112\overline{)3622}\\\phantom{112)}\underline{\phantom{}336\phantom{9}}\\\phantom{112)9}262\\\phantom{112)}\underline{\phantom{9}224\phantom{}}\\\phantom{112)99}38\\\end{array}$$

Since $38$ is less than $112$, stop the division. The reminder is $38$. The topmost line $0032$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $32$.

$$\text{Quotient: }32$$ $$\text{Reminder: }38$$

Show Solution

Factor

$\frac{1811}{2 ^ {3} \cdot 7} = 32\frac{19}{56} = 32.339285714285715$