How to solve (70286)/(49)

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 (70286)/(49) | Equatix

Question

$$\frac{ 70286 }{ 49 }$$

Evaluate

$\frac{70286}{49}\approx 1434.408163265$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $70286$

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)70286}\\\end{array}$$

Since $7$ is less than $49$, use the next digit $0$ from dividend $70286$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)70286}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $70286$

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)70286}\\\end{array}$$

Find closest multiple of $49$ to $70$. We see that $1 \times 49 = 49$ is the nearest. Now subtract $49$ from $70$ to get reminder $21$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{49)}01\phantom{4}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}21\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $70286$

$$\begin{array}{l}\phantom{49)}01\phantom{5}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\end{array}$$

Find closest multiple of $49$ to $212$. We see that $4 \times 49 = 196$ is the nearest. Now subtract $196$ from $212$ to get reminder $16$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{49)}014\phantom{6}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\phantom{49)}\underline{\phantom{}196\phantom{99}}\\\phantom{49)9}16\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $70286$

$$\begin{array}{l}\phantom{49)}014\phantom{7}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\phantom{49)}\underline{\phantom{}196\phantom{99}}\\\phantom{49)9}168\\\end{array}$$

Find closest multiple of $49$ to $168$. We see that $3 \times 49 = 147$ is the nearest. Now subtract $147$ from $168$ to get reminder $21$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{49)}0143\phantom{8}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\phantom{49)}\underline{\phantom{}196\phantom{99}}\\\phantom{49)9}168\\\phantom{49)}\underline{\phantom{9}147\phantom{9}}\\\phantom{49)99}21\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $70286$

$$\begin{array}{l}\phantom{49)}0143\phantom{9}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\phantom{49)}\underline{\phantom{}196\phantom{99}}\\\phantom{49)9}168\\\phantom{49)}\underline{\phantom{9}147\phantom{9}}\\\phantom{49)99}216\\\end{array}$$

Find closest multiple of $49$ to $216$. We see that $4 \times 49 = 196$ is the nearest. Now subtract $196$ from $216$ to get reminder $20$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{49)}01434\phantom{10}\\49\overline{)70286}\\\phantom{49)}\underline{\phantom{}49\phantom{999}}\\\phantom{49)}212\\\phantom{49)}\underline{\phantom{}196\phantom{99}}\\\phantom{49)9}168\\\phantom{49)}\underline{\phantom{9}147\phantom{9}}\\\phantom{49)99}216\\\phantom{49)}\underline{\phantom{99}196\phantom{}}\\\phantom{49)999}20\\\end{array}$$

Since $20$ is less than $49$, stop the division. The reminder is $20$. The topmost line $01434$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1434$.

$$\text{Quotient: }1434$$ $$\text{Reminder: }20$$

Show Solution

Factor

$\frac{2 \cdot 113 \cdot 311}{7 ^ {2}} = 1434\frac{20}{49} = 1434.408163265306$

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Steps For Long Division Method

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