How to solve 2856/156

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 2856/156 | Equatix

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Question

$$2856\div156$$

Evaluate

$\frac{238}{13}\approx 18.307692308$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2856$

$$\begin{array}{l}\phantom{156)}\phantom{1}\\156\overline{)2856}\\\end{array}$$

Since $2$ is less than $156$, use the next digit $8$ from dividend $2856$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{156)}0\phantom{2}\\156\overline{)2856}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $2856$

$$\begin{array}{l}\phantom{156)}0\phantom{3}\\156\overline{)2856}\\\end{array}$$

Since $28$ is less than $156$, use the next digit $5$ from dividend $2856$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{156)}00\phantom{4}\\156\overline{)2856}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $2856$

$$\begin{array}{l}\phantom{156)}00\phantom{5}\\156\overline{)2856}\\\end{array}$$

Find closest multiple of $156$ to $285$. We see that $1 \times 156 = 156$ is the nearest. Now subtract $156$ from $285$ to get reminder $129$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{156)}001\phantom{6}\\156\overline{)2856}\\\phantom{156)}\underline{\phantom{}156\phantom{9}}\\\phantom{156)}129\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $2856$

$$\begin{array}{l}\phantom{156)}001\phantom{7}\\156\overline{)2856}\\\phantom{156)}\underline{\phantom{}156\phantom{9}}\\\phantom{156)}1296\\\end{array}$$

Find closest multiple of $156$ to $1296$. We see that $8 \times 156 = 1248$ is the nearest. Now subtract $1248$ from $1296$ to get reminder $48$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{156)}0018\phantom{8}\\156\overline{)2856}\\\phantom{156)}\underline{\phantom{}156\phantom{9}}\\\phantom{156)}1296\\\phantom{156)}\underline{\phantom{}1248\phantom{}}\\\phantom{156)99}48\\\end{array}$$

Since $48$ is less than $156$, stop the division. The reminder is $48$. The topmost line $0018$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $18$.

$$\text{Quotient: }18$$ $$\text{Reminder: }48$$

Show Solution

Factor

$\frac{2 \cdot 7 \cdot 17}{13} = 18\frac{4}{13} = 18.307692307692307$