How to solve 52856/150

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 52856/150 | Equatix

Question

$$52856\div150$$

Evaluate

$\frac{26428}{75}\approx 352.373333333$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $52856$

$$\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)52856}\\\end{array}$$

Since $5$ is less than $150$, use the next digit $2$ from dividend $52856$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)52856}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $52856$

$$\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)52856}\\\end{array}$$

Since $52$ is less than $150$, use the next digit $8$ from dividend $52856$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)52856}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $52856$

$$\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)52856}\\\end{array}$$

Find closest multiple of $150$ to $528$. We see that $3 \times 150 = 450$ is the nearest. Now subtract $450$ from $528$ to get reminder $78$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{150)}003\phantom{6}\\150\overline{)52856}\\\phantom{150)}\underline{\phantom{}450\phantom{99}}\\\phantom{150)9}78\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $52856$

$$\begin{array}{l}\phantom{150)}003\phantom{7}\\150\overline{)52856}\\\phantom{150)}\underline{\phantom{}450\phantom{99}}\\\phantom{150)9}785\\\end{array}$$

Find closest multiple of $150$ to $785$. We see that $5 \times 150 = 750$ is the nearest. Now subtract $750$ from $785$ to get reminder $35$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{150)}0035\phantom{8}\\150\overline{)52856}\\\phantom{150)}\underline{\phantom{}450\phantom{99}}\\\phantom{150)9}785\\\phantom{150)}\underline{\phantom{9}750\phantom{9}}\\\phantom{150)99}35\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $52856$

$$\begin{array}{l}\phantom{150)}0035\phantom{9}\\150\overline{)52856}\\\phantom{150)}\underline{\phantom{}450\phantom{99}}\\\phantom{150)9}785\\\phantom{150)}\underline{\phantom{9}750\phantom{9}}\\\phantom{150)99}356\\\end{array}$$

Find closest multiple of $150$ to $356$. We see that $2 \times 150 = 300$ is the nearest. Now subtract $300$ from $356$ to get reminder $56$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{150)}00352\phantom{10}\\150\overline{)52856}\\\phantom{150)}\underline{\phantom{}450\phantom{99}}\\\phantom{150)9}785\\\phantom{150)}\underline{\phantom{9}750\phantom{9}}\\\phantom{150)99}356\\\phantom{150)}\underline{\phantom{99}300\phantom{}}\\\phantom{150)999}56\\\end{array}$$

Since $56$ is less than $150$, stop the division. The reminder is $56$. The topmost line $00352$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $352$.

$$\text{Quotient: }352$$ $$\text{Reminder: }56$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 6607}{3 \cdot 5 ^ {2}} = 352\frac{28}{75} = 352.37333333333333$

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Steps For Long Division Method

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