How to solve 10/56321

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 10/56321 | Equatix

Question

$$\frac { 56321 } { 10 }$$

Evaluate

$\frac{56321}{10}=5632.1$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $56321$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)56321}\\\end{array}$$

Since $5$ is less than $10$, use the next digit $6$ from dividend $56321$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)56321}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $56321$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)56321}\\\end{array}$$

Find closest multiple of $10$ to $56$. We see that $5 \times 10 = 50$ is the nearest. Now subtract $50$ from $56$ to get reminder $6$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{10)}05\phantom{4}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}6\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $56321$

$$\begin{array}{l}\phantom{10)}05\phantom{5}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\end{array}$$

Find closest multiple of $10$ to $63$. We see that $6 \times 10 = 60$ is the nearest. Now subtract $60$ from $63$ to get reminder $3$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{10)}056\phantom{6}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\phantom{10)}\underline{\phantom{9}60\phantom{99}}\\\phantom{10)99}3\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $56321$

$$\begin{array}{l}\phantom{10)}056\phantom{7}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\phantom{10)}\underline{\phantom{9}60\phantom{99}}\\\phantom{10)99}32\\\end{array}$$

Find closest multiple of $10$ to $32$. We see that $3 \times 10 = 30$ is the nearest. Now subtract $30$ from $32$ to get reminder $2$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{10)}0563\phantom{8}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\phantom{10)}\underline{\phantom{9}60\phantom{99}}\\\phantom{10)99}32\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}2\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $56321$

$$\begin{array}{l}\phantom{10)}0563\phantom{9}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\phantom{10)}\underline{\phantom{9}60\phantom{99}}\\\phantom{10)99}32\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}21\\\end{array}$$

Find closest multiple of $10$ to $21$. We see that $2 \times 10 = 20$ is the nearest. Now subtract $20$ from $21$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{10)}05632\phantom{10}\\10\overline{)56321}\\\phantom{10)}\underline{\phantom{}50\phantom{999}}\\\phantom{10)9}63\\\phantom{10)}\underline{\phantom{9}60\phantom{99}}\\\phantom{10)99}32\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}21\\\phantom{10)}\underline{\phantom{999}20\phantom{}}\\\phantom{10)9999}1\\\end{array}$$

Since $1$ is less than $10$, stop the division. The reminder is $1$. The topmost line $05632$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5632$.

$$\text{Quotient: }5632$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{17 \cdot 3313}{2 \cdot 5} = 5632\frac{1}{10} = 5632.1$

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Steps For Long Division Method

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