How to solve 24684/342

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 24684/342 | Equatix

Question

$$24684\div342$$

Evaluate

$\frac{4114}{57}\approx 72.175438596$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $24684$

$$\begin{array}{l}\phantom{342)}\phantom{1}\\342\overline{)24684}\\\end{array}$$

Since $2$ is less than $342$, use the next digit $4$ from dividend $24684$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{342)}0\phantom{2}\\342\overline{)24684}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $24684$

$$\begin{array}{l}\phantom{342)}0\phantom{3}\\342\overline{)24684}\\\end{array}$$

Since $24$ is less than $342$, use the next digit $6$ from dividend $24684$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{342)}00\phantom{4}\\342\overline{)24684}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $24684$

$$\begin{array}{l}\phantom{342)}00\phantom{5}\\342\overline{)24684}\\\end{array}$$

Since $246$ is less than $342$, use the next digit $8$ from dividend $24684$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{342)}000\phantom{6}\\342\overline{)24684}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $24684$

$$\begin{array}{l}\phantom{342)}000\phantom{7}\\342\overline{)24684}\\\end{array}$$

Find closest multiple of $342$ to $2468$. We see that $7 \times 342 = 2394$ is the nearest. Now subtract $2394$ from $2468$ to get reminder $74$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{342)}0007\phantom{8}\\342\overline{)24684}\\\phantom{342)}\underline{\phantom{}2394\phantom{9}}\\\phantom{342)99}74\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $24684$

$$\begin{array}{l}\phantom{342)}0007\phantom{9}\\342\overline{)24684}\\\phantom{342)}\underline{\phantom{}2394\phantom{9}}\\\phantom{342)99}744\\\end{array}$$

Find closest multiple of $342$ to $744$. We see that $2 \times 342 = 684$ is the nearest. Now subtract $684$ from $744$ to get reminder $60$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{342)}00072\phantom{10}\\342\overline{)24684}\\\phantom{342)}\underline{\phantom{}2394\phantom{9}}\\\phantom{342)99}744\\\phantom{342)}\underline{\phantom{99}684\phantom{}}\\\phantom{342)999}60\\\end{array}$$

Since $60$ is less than $342$, stop the division. The reminder is $60$. The topmost line $00072$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $72$.

$$\text{Quotient: }72$$ $$\text{Reminder: }60$$

Show Solution

Factor

$\frac{2 \cdot 11 ^ {2} \cdot 17}{3 \cdot 19} = 72\frac{10}{57} = 72.17543859649123$

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Steps For Long Division Method

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