How to solve 20132/74

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 20132/74 | Equatix

Question

$$20132/74$$

Evaluate

$\frac{10066}{37}\approx 272.054054054$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $20132$

$$\begin{array}{l}\phantom{74)}\phantom{1}\\74\overline{)20132}\\\end{array}$$

Since $2$ is less than $74$, use the next digit $0$ from dividend $20132$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{74)}0\phantom{2}\\74\overline{)20132}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $20132$

$$\begin{array}{l}\phantom{74)}0\phantom{3}\\74\overline{)20132}\\\end{array}$$

Since $20$ is less than $74$, use the next digit $1$ from dividend $20132$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{74)}00\phantom{4}\\74\overline{)20132}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $20132$

$$\begin{array}{l}\phantom{74)}00\phantom{5}\\74\overline{)20132}\\\end{array}$$

Find closest multiple of $74$ to $201$. We see that $2 \times 74 = 148$ is the nearest. Now subtract $148$ from $201$ to get reminder $53$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{74)}002\phantom{6}\\74\overline{)20132}\\\phantom{74)}\underline{\phantom{}148\phantom{99}}\\\phantom{74)9}53\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $20132$

$$\begin{array}{l}\phantom{74)}002\phantom{7}\\74\overline{)20132}\\\phantom{74)}\underline{\phantom{}148\phantom{99}}\\\phantom{74)9}533\\\end{array}$$

Find closest multiple of $74$ to $533$. We see that $7 \times 74 = 518$ is the nearest. Now subtract $518$ from $533$ to get reminder $15$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{74)}0027\phantom{8}\\74\overline{)20132}\\\phantom{74)}\underline{\phantom{}148\phantom{99}}\\\phantom{74)9}533\\\phantom{74)}\underline{\phantom{9}518\phantom{9}}\\\phantom{74)99}15\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $20132$

$$\begin{array}{l}\phantom{74)}0027\phantom{9}\\74\overline{)20132}\\\phantom{74)}\underline{\phantom{}148\phantom{99}}\\\phantom{74)9}533\\\phantom{74)}\underline{\phantom{9}518\phantom{9}}\\\phantom{74)99}152\\\end{array}$$

Find closest multiple of $74$ to $152$. We see that $2 \times 74 = 148$ is the nearest. Now subtract $148$ from $152$ to get reminder $4$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{74)}00272\phantom{10}\\74\overline{)20132}\\\phantom{74)}\underline{\phantom{}148\phantom{99}}\\\phantom{74)9}533\\\phantom{74)}\underline{\phantom{9}518\phantom{9}}\\\phantom{74)99}152\\\phantom{74)}\underline{\phantom{99}148\phantom{}}\\\phantom{74)9999}4\\\end{array}$$

Since $4$ is less than $74$, stop the division. The reminder is $4$. The topmost line $00272$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $272$.

$$\text{Quotient: }272$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 7 \cdot 719}{37} = 272\frac{2}{37} = 272.05405405405406$

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Steps For Long Division Method

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