How to solve (890)/(223)

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 (890)/(223) | Equatix

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Question

$$\frac{ 890 }{ 223 }$$

Evaluate

$\frac{890}{223}\approx 3.99103139$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $890$

$$\begin{array}{l}\phantom{223)}\phantom{1}\\223\overline{)890}\\\end{array}$$

Since $8$ is less than $223$, use the next digit $9$ from dividend $890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{223)}0\phantom{2}\\223\overline{)890}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $890$

$$\begin{array}{l}\phantom{223)}0\phantom{3}\\223\overline{)890}\\\end{array}$$

Since $89$ is less than $223$, use the next digit $0$ from dividend $890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{223)}00\phantom{4}\\223\overline{)890}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $890$

$$\begin{array}{l}\phantom{223)}00\phantom{5}\\223\overline{)890}\\\end{array}$$

Find closest multiple of $223$ to $890$. We see that $3 \times 223 = 669$ is the nearest. Now subtract $669$ from $890$ to get reminder $221$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{223)}003\phantom{6}\\223\overline{)890}\\\phantom{223)}\underline{\phantom{}669\phantom{}}\\\phantom{223)}221\\\end{array}$$

Since $221$ is less than $223$, stop the division. The reminder is $221$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }221$$

Show Solution

Factor

$\frac{2 \cdot 5 \cdot 89}{223} = 3\frac{221}{223} = 3.991031390134529$