How to solve (52079)/(30)

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 (52079)/(30) | Equatix

Question

$$\frac{ 52079 }{ 30 }$$

Evaluate

$\frac{52079}{30}\approx 1735.966666667$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $52079$

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)52079}\\\end{array}$$

Since $5$ is less than $30$, use the next digit $2$ from dividend $52079$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)52079}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $52079$

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)52079}\\\end{array}$$

Find closest multiple of $30$ to $52$. We see that $1 \times 30 = 30$ is the nearest. Now subtract $30$ from $52$ to get reminder $22$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}22\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $52079$

$$\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\end{array}$$

Find closest multiple of $30$ to $220$. We see that $7 \times 30 = 210$ is the nearest. Now subtract $210$ from $220$ to get reminder $10$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{30)}017\phantom{6}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}10\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $52079$

$$\begin{array}{l}\phantom{30)}017\phantom{7}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}107\\\end{array}$$

Find closest multiple of $30$ to $107$. We see that $3 \times 30 = 90$ is the nearest. Now subtract $90$ from $107$ to get reminder $17$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{30)}0173\phantom{8}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}107\\\phantom{30)}\underline{\phantom{99}90\phantom{9}}\\\phantom{30)99}17\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $52079$

$$\begin{array}{l}\phantom{30)}0173\phantom{9}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}107\\\phantom{30)}\underline{\phantom{99}90\phantom{9}}\\\phantom{30)99}179\\\end{array}$$

Find closest multiple of $30$ to $179$. We see that $5 \times 30 = 150$ is the nearest. Now subtract $150$ from $179$ to get reminder $29$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{30)}01735\phantom{10}\\30\overline{)52079}\\\phantom{30)}\underline{\phantom{}30\phantom{999}}\\\phantom{30)}220\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}107\\\phantom{30)}\underline{\phantom{99}90\phantom{9}}\\\phantom{30)99}179\\\phantom{30)}\underline{\phantom{99}150\phantom{}}\\\phantom{30)999}29\\\end{array}$$

Since $29$ is less than $30$, stop the division. The reminder is $29$. The topmost line $01735$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1735$.

$$\text{Quotient: }1735$$ $$\text{Reminder: }29$$

Show Solution

Factor

$\frac{19 \cdot 2741}{2 \cdot 3 \cdot 5} = 1735\frac{29}{30} = 1735.9666666666667$

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Steps For Long Division Method

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