How to solve 2 . 3876/29

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 2 . 3876/29 | Equatix

Question

$$\quad 3876 \div 29$$

Evaluate

$\frac{3876}{29}\approx 133.655172414$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3876$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)3876}\\\end{array}$$

Since $3$ is less than $29$, use the next digit $8$ from dividend $3876$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)3876}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $3876$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)3876}\\\end{array}$$

Find closest multiple of $29$ to $38$. We see that $1 \times 29 = 29$ is the nearest. Now subtract $29$ from $38$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{29)}01\phantom{4}\\29\overline{)3876}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}9\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $3876$

$$\begin{array}{l}\phantom{29)}01\phantom{5}\\29\overline{)3876}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}97\\\end{array}$$

Find closest multiple of $29$ to $97$. We see that $3 \times 29 = 87$ is the nearest. Now subtract $87$ from $97$ to get reminder $10$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{29)}013\phantom{6}\\29\overline{)3876}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}97\\\phantom{29)}\underline{\phantom{9}87\phantom{9}}\\\phantom{29)9}10\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $3876$

$$\begin{array}{l}\phantom{29)}013\phantom{7}\\29\overline{)3876}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}97\\\phantom{29)}\underline{\phantom{9}87\phantom{9}}\\\phantom{29)9}106\\\end{array}$$

Find closest multiple of $29$ to $106$. We see that $3 \times 29 = 87$ is the nearest. Now subtract $87$ from $106$ to get reminder $19$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{29)}0133\phantom{8}\\29\overline{)3876}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}97\\\phantom{29)}\underline{\phantom{9}87\phantom{9}}\\\phantom{29)9}106\\\phantom{29)}\underline{\phantom{99}87\phantom{}}\\\phantom{29)99}19\\\end{array}$$

Since $19$ is less than $29$, stop the division. The reminder is $19$. The topmost line $0133$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $133$.

$$\text{Quotient: }133$$ $$\text{Reminder: }19$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 17 \cdot 19}{29} = 133\frac{19}{29} = 133.6551724137931$

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Steps For Long Division Method

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