How to solve (6075)/(45)

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 (6075)/(45) | Equatix

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Question

$$\frac{ 6075 }{ 45 }$$

Evaluate

$135$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6075$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)6075}\\\end{array}$$

Since $6$ is less than $45$, use the next digit $0$ from dividend $6075$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)6075}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $6075$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)6075}\\\end{array}$$

Find closest multiple of $45$ to $60$. We see that $1 \times 45 = 45$ is the nearest. Now subtract $45$ from $60$ to get reminder $15$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)6075}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)}15\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $6075$

$$\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)6075}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)}157\\\end{array}$$

Find closest multiple of $45$ to $157$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $157$ to get reminder $22$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}013\phantom{6}\\45\overline{)6075}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)}157\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}22\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $6075$

$$\begin{array}{l}\phantom{45)}013\phantom{7}\\45\overline{)6075}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)}157\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}225\\\end{array}$$

Find closest multiple of $45$ to $225$. We see that $5 \times 45 = 225$ is the nearest. Now subtract $225$ from $225$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{45)}0135\phantom{8}\\45\overline{)6075}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)}157\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}225\\\phantom{45)}\underline{\phantom{9}225\phantom{}}\\\phantom{45)9999}0\\\end{array}$$

Since $0$ is less than $45$, stop the division. The reminder is $0$. The topmost line $0135$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $135$.

$$\text{Quotient: }135$$ $$\text{Reminder: }0$$

Show Solution

Factor

$3^{3}\times 5$