How to solve 34158/240

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 34158/240 | Equatix

Question

$$34158/240$$

Evaluate

$\frac{5693}{40}=142.325$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $34158$

$$\begin{array}{l}\phantom{240)}\phantom{1}\\240\overline{)34158}\\\end{array}$$

Since $3$ is less than $240$, use the next digit $4$ from dividend $34158$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{240)}0\phantom{2}\\240\overline{)34158}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $34158$

$$\begin{array}{l}\phantom{240)}0\phantom{3}\\240\overline{)34158}\\\end{array}$$

Since $34$ is less than $240$, use the next digit $1$ from dividend $34158$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{240)}00\phantom{4}\\240\overline{)34158}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $34158$

$$\begin{array}{l}\phantom{240)}00\phantom{5}\\240\overline{)34158}\\\end{array}$$

Find closest multiple of $240$ to $341$. We see that $1 \times 240 = 240$ is the nearest. Now subtract $240$ from $341$ to get reminder $101$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{240)}001\phantom{6}\\240\overline{)34158}\\\phantom{240)}\underline{\phantom{}240\phantom{99}}\\\phantom{240)}101\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $34158$

$$\begin{array}{l}\phantom{240)}001\phantom{7}\\240\overline{)34158}\\\phantom{240)}\underline{\phantom{}240\phantom{99}}\\\phantom{240)}1015\\\end{array}$$

Find closest multiple of $240$ to $1015$. We see that $4 \times 240 = 960$ is the nearest. Now subtract $960$ from $1015$ to get reminder $55$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{240)}0014\phantom{8}\\240\overline{)34158}\\\phantom{240)}\underline{\phantom{}240\phantom{99}}\\\phantom{240)}1015\\\phantom{240)}\underline{\phantom{9}960\phantom{9}}\\\phantom{240)99}55\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $34158$

$$\begin{array}{l}\phantom{240)}0014\phantom{9}\\240\overline{)34158}\\\phantom{240)}\underline{\phantom{}240\phantom{99}}\\\phantom{240)}1015\\\phantom{240)}\underline{\phantom{9}960\phantom{9}}\\\phantom{240)99}558\\\end{array}$$

Find closest multiple of $240$ to $558$. We see that $2 \times 240 = 480$ is the nearest. Now subtract $480$ from $558$ to get reminder $78$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{240)}00142\phantom{10}\\240\overline{)34158}\\\phantom{240)}\underline{\phantom{}240\phantom{99}}\\\phantom{240)}1015\\\phantom{240)}\underline{\phantom{9}960\phantom{9}}\\\phantom{240)99}558\\\phantom{240)}\underline{\phantom{99}480\phantom{}}\\\phantom{240)999}78\\\end{array}$$

Since $78$ is less than $240$, stop the division. The reminder is $78$. The topmost line $00142$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $142$.

$$\text{Quotient: }142$$ $$\text{Reminder: }78$$

Show Solution

Factor

$\frac{5693}{2 ^ {3} \cdot 5} = 142\frac{13}{40} = 142.325$

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Steps For Long Division Method

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