How to solve ) 724350/3200

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 ) 724350/3200 | Equatix

Question

$$724350 \div 3200$$

Evaluate

$\frac{14487}{64}=226.359375$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}\phantom{1}\\3200\overline{)724350}\\\end{array}$$

Since $7$ is less than $3200$, use the next digit $2$ from dividend $724350$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3200)}0\phantom{2}\\3200\overline{)724350}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}0\phantom{3}\\3200\overline{)724350}\\\end{array}$$

Since $72$ is less than $3200$, use the next digit $4$ from dividend $724350$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3200)}00\phantom{4}\\3200\overline{)724350}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}00\phantom{5}\\3200\overline{)724350}\\\end{array}$$

Since $724$ is less than $3200$, use the next digit $3$ from dividend $724350$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3200)}000\phantom{6}\\3200\overline{)724350}\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}000\phantom{7}\\3200\overline{)724350}\\\end{array}$$

Find closest multiple of $3200$ to $7243$. We see that $2 \times 3200 = 6400$ is the nearest. Now subtract $6400$ from $7243$ to get reminder $843$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{3200)}0002\phantom{8}\\3200\overline{)724350}\\\phantom{3200)}\underline{\phantom{}6400\phantom{99}}\\\phantom{3200)9}843\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}0002\phantom{9}\\3200\overline{)724350}\\\phantom{3200)}\underline{\phantom{}6400\phantom{99}}\\\phantom{3200)9}8435\\\end{array}$$

Find closest multiple of $3200$ to $8435$. We see that $2 \times 3200 = 6400$ is the nearest. Now subtract $6400$ from $8435$ to get reminder $2035$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{3200)}00022\phantom{10}\\3200\overline{)724350}\\\phantom{3200)}\underline{\phantom{}6400\phantom{99}}\\\phantom{3200)9}8435\\\phantom{3200)}\underline{\phantom{9}6400\phantom{9}}\\\phantom{3200)9}2035\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $724350$

$$\begin{array}{l}\phantom{3200)}00022\phantom{11}\\3200\overline{)724350}\\\phantom{3200)}\underline{\phantom{}6400\phantom{99}}\\\phantom{3200)9}8435\\\phantom{3200)}\underline{\phantom{9}6400\phantom{9}}\\\phantom{3200)9}20350\\\end{array}$$

Find closest multiple of $3200$ to $20350$. We see that $6 \times 3200 = 19200$ is the nearest. Now subtract $19200$ from $20350$ to get reminder $1150$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{3200)}000226\phantom{12}\\3200\overline{)724350}\\\phantom{3200)}\underline{\phantom{}6400\phantom{99}}\\\phantom{3200)9}8435\\\phantom{3200)}\underline{\phantom{9}6400\phantom{9}}\\\phantom{3200)9}20350\\\phantom{3200)}\underline{\phantom{9}19200\phantom{}}\\\phantom{3200)99}1150\\\end{array}$$

Since $1150$ is less than $3200$, stop the division. The reminder is $1150$. The topmost line $000226$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $226$.

$$\text{Quotient: }226$$ $$\text{Reminder: }1150$$

Show Solution

Factor

$\frac{3 \cdot 11 \cdot 439}{2 ^ {6}} = 226\frac{23}{64} = 226.359375$

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Steps For Long Division Method

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