How to solve 66872/784

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 66872/784 | Equatix

Question

$$66872\div784$$

Evaluate

$\frac{8359}{98}\approx 85.295918367$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $66872$

$$\begin{array}{l}\phantom{784)}\phantom{1}\\784\overline{)66872}\\\end{array}$$

Since $6$ is less than $784$, use the next digit $6$ from dividend $66872$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{784)}0\phantom{2}\\784\overline{)66872}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $66872$

$$\begin{array}{l}\phantom{784)}0\phantom{3}\\784\overline{)66872}\\\end{array}$$

Since $66$ is less than $784$, use the next digit $8$ from dividend $66872$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{784)}00\phantom{4}\\784\overline{)66872}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $66872$

$$\begin{array}{l}\phantom{784)}00\phantom{5}\\784\overline{)66872}\\\end{array}$$

Since $668$ is less than $784$, use the next digit $7$ from dividend $66872$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{784)}000\phantom{6}\\784\overline{)66872}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $66872$

$$\begin{array}{l}\phantom{784)}000\phantom{7}\\784\overline{)66872}\\\end{array}$$

Find closest multiple of $784$ to $6687$. We see that $8 \times 784 = 6272$ is the nearest. Now subtract $6272$ from $6687$ to get reminder $415$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{784)}0008\phantom{8}\\784\overline{)66872}\\\phantom{784)}\underline{\phantom{}6272\phantom{9}}\\\phantom{784)9}415\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $66872$

$$\begin{array}{l}\phantom{784)}0008\phantom{9}\\784\overline{)66872}\\\phantom{784)}\underline{\phantom{}6272\phantom{9}}\\\phantom{784)9}4152\\\end{array}$$

Find closest multiple of $784$ to $4152$. We see that $5 \times 784 = 3920$ is the nearest. Now subtract $3920$ from $4152$ to get reminder $232$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{784)}00085\phantom{10}\\784\overline{)66872}\\\phantom{784)}\underline{\phantom{}6272\phantom{9}}\\\phantom{784)9}4152\\\phantom{784)}\underline{\phantom{9}3920\phantom{}}\\\phantom{784)99}232\\\end{array}$$

Since $232$ is less than $784$, stop the division. The reminder is $232$. The topmost line $00085$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $85$.

$$\text{Quotient: }85$$ $$\text{Reminder: }232$$

Show Solution

Factor

$\frac{13 \cdot 643}{2 \cdot 7 ^ {2}} = 85\frac{29}{98} = 85.29591836734694$

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Steps For Long Division Method

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