How to solve (50195)/(69)

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 (50195)/(69) | Equatix

Question

$$\frac{ 50195 }{ 69 }$$

Evaluate

$\frac{50195}{69}\approx 727.463768116$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $50195$

$$\begin{array}{l}\phantom{69)}\phantom{1}\\69\overline{)50195}\\\end{array}$$

Since $5$ is less than $69$, use the next digit $0$ from dividend $50195$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{69)}0\phantom{2}\\69\overline{)50195}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $50195$

$$\begin{array}{l}\phantom{69)}0\phantom{3}\\69\overline{)50195}\\\end{array}$$

Since $50$ is less than $69$, use the next digit $1$ from dividend $50195$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{69)}00\phantom{4}\\69\overline{)50195}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $50195$

$$\begin{array}{l}\phantom{69)}00\phantom{5}\\69\overline{)50195}\\\end{array}$$

Find closest multiple of $69$ to $501$. We see that $7 \times 69 = 483$ is the nearest. Now subtract $483$ from $501$ to get reminder $18$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{69)}007\phantom{6}\\69\overline{)50195}\\\phantom{69)}\underline{\phantom{}483\phantom{99}}\\\phantom{69)9}18\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $50195$

$$\begin{array}{l}\phantom{69)}007\phantom{7}\\69\overline{)50195}\\\phantom{69)}\underline{\phantom{}483\phantom{99}}\\\phantom{69)9}189\\\end{array}$$

Find closest multiple of $69$ to $189$. We see that $2 \times 69 = 138$ is the nearest. Now subtract $138$ from $189$ to get reminder $51$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{69)}0072\phantom{8}\\69\overline{)50195}\\\phantom{69)}\underline{\phantom{}483\phantom{99}}\\\phantom{69)9}189\\\phantom{69)}\underline{\phantom{9}138\phantom{9}}\\\phantom{69)99}51\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $50195$

$$\begin{array}{l}\phantom{69)}0072\phantom{9}\\69\overline{)50195}\\\phantom{69)}\underline{\phantom{}483\phantom{99}}\\\phantom{69)9}189\\\phantom{69)}\underline{\phantom{9}138\phantom{9}}\\\phantom{69)99}515\\\end{array}$$

Find closest multiple of $69$ to $515$. We see that $7 \times 69 = 483$ is the nearest. Now subtract $483$ from $515$ to get reminder $32$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{69)}00727\phantom{10}\\69\overline{)50195}\\\phantom{69)}\underline{\phantom{}483\phantom{99}}\\\phantom{69)9}189\\\phantom{69)}\underline{\phantom{9}138\phantom{9}}\\\phantom{69)99}515\\\phantom{69)}\underline{\phantom{99}483\phantom{}}\\\phantom{69)999}32\\\end{array}$$

Since $32$ is less than $69$, stop the division. The reminder is $32$. The topmost line $00727$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $727$.

$$\text{Quotient: }727$$ $$\text{Reminder: }32$$

Show Solution

Factor

$\frac{5 \cdot 10039}{3 \cdot 23} = 727\frac{32}{69} = 727.463768115942$

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Steps For Long Division Method

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