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 2698/61 | Equatix

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Question

$$2698\div61$$

Evaluate

$\frac{2698}{61}\approx 44.229508197$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2698$

$$\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)2698}\\\end{array}$$

Since $2$ is less than $61$, use the next digit $6$ from dividend $2698$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)2698}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $2698$

$$\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)2698}\\\end{array}$$

Since $26$ is less than $61$, use the next digit $9$ from dividend $2698$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}00\phantom{4}\\61\overline{)2698}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $2698$

$$\begin{array}{l}\phantom{61)}00\phantom{5}\\61\overline{)2698}\\\end{array}$$

Find closest multiple of $61$ to $269$. We see that $4 \times 61 = 244$ is the nearest. Now subtract $244$ from $269$ to get reminder $25$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{61)}004\phantom{6}\\61\overline{)2698}\\\phantom{61)}\underline{\phantom{}244\phantom{9}}\\\phantom{61)9}25\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $2698$

$$\begin{array}{l}\phantom{61)}004\phantom{7}\\61\overline{)2698}\\\phantom{61)}\underline{\phantom{}244\phantom{9}}\\\phantom{61)9}258\\\end{array}$$

Find closest multiple of $61$ to $258$. We see that $4 \times 61 = 244$ is the nearest. Now subtract $244$ from $258$ to get reminder $14$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{61)}0044\phantom{8}\\61\overline{)2698}\\\phantom{61)}\underline{\phantom{}244\phantom{9}}\\\phantom{61)9}258\\\phantom{61)}\underline{\phantom{9}244\phantom{}}\\\phantom{61)99}14\\\end{array}$$

Since $14$ is less than $61$, stop the division. The reminder is $14$. The topmost line $0044$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $44$.

$$\text{Quotient: }44$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{2 \cdot 19 \cdot 71}{61} = 44\frac{14}{61} = 44.22950819672131$