How to solve 328125/1000

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 328125/1000 | Equatix

Question

$$328125\div1000$$

Evaluate

$\frac{2625}{8}=328.125$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)328125}\\\end{array}$$

Since $3$ is less than $1000$, use the next digit $2$ from dividend $328125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)328125}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)328125}\\\end{array}$$

Since $32$ is less than $1000$, use the next digit $8$ from dividend $328125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)328125}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)328125}\\\end{array}$$

Since $328$ is less than $1000$, use the next digit $1$ from dividend $328125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)328125}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)328125}\\\end{array}$$

Find closest multiple of $1000$ to $3281$. We see that $3 \times 1000 = 3000$ is the nearest. Now subtract $3000$ from $3281$ to get reminder $281$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{1000)}0003\phantom{8}\\1000\overline{)328125}\\\phantom{1000)}\underline{\phantom{}3000\phantom{99}}\\\phantom{1000)9}281\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}0003\phantom{9}\\1000\overline{)328125}\\\phantom{1000)}\underline{\phantom{}3000\phantom{99}}\\\phantom{1000)9}2812\\\end{array}$$

Find closest multiple of $1000$ to $2812$. We see that $2 \times 1000 = 2000$ is the nearest. Now subtract $2000$ from $2812$ to get reminder $812$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{1000)}00032\phantom{10}\\1000\overline{)328125}\\\phantom{1000)}\underline{\phantom{}3000\phantom{99}}\\\phantom{1000)9}2812\\\phantom{1000)}\underline{\phantom{9}2000\phantom{9}}\\\phantom{1000)99}812\\\end{array}$$

Use the $6^{th}$ digit $5$ from dividend $328125$

$$\begin{array}{l}\phantom{1000)}00032\phantom{11}\\1000\overline{)328125}\\\phantom{1000)}\underline{\phantom{}3000\phantom{99}}\\\phantom{1000)9}2812\\\phantom{1000)}\underline{\phantom{9}2000\phantom{9}}\\\phantom{1000)99}8125\\\end{array}$$

Find closest multiple of $1000$ to $8125$. We see that $8 \times 1000 = 8000$ is the nearest. Now subtract $8000$ from $8125$ to get reminder $125$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{1000)}000328\phantom{12}\\1000\overline{)328125}\\\phantom{1000)}\underline{\phantom{}3000\phantom{99}}\\\phantom{1000)9}2812\\\phantom{1000)}\underline{\phantom{9}2000\phantom{9}}\\\phantom{1000)99}8125\\\phantom{1000)}\underline{\phantom{99}8000\phantom{}}\\\phantom{1000)999}125\\\end{array}$$

Since $125$ is less than $1000$, stop the division. The reminder is $125$. The topmost line $000328$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $328$.

$$\text{Quotient: }328$$ $$\text{Reminder: }125$$

Show Solution

Factor

$\frac{3 \cdot 5 ^ {3} \cdot 7}{2 ^ {3}} = 328\frac{1}{8} = 328.125$

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Steps For Long Division Method

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