How to solve 16928/224

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 16928/224 | Equatix

Question

$$16928\div224$$

Evaluate

$\frac{529}{7}\approx 75.571428571$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $16928$

$$\begin{array}{l}\phantom{224)}\phantom{1}\\224\overline{)16928}\\\end{array}$$

Since $1$ is less than $224$, use the next digit $6$ from dividend $16928$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{224)}0\phantom{2}\\224\overline{)16928}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $16928$

$$\begin{array}{l}\phantom{224)}0\phantom{3}\\224\overline{)16928}\\\end{array}$$

Since $16$ is less than $224$, use the next digit $9$ from dividend $16928$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{224)}00\phantom{4}\\224\overline{)16928}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $16928$

$$\begin{array}{l}\phantom{224)}00\phantom{5}\\224\overline{)16928}\\\end{array}$$

Since $169$ is less than $224$, use the next digit $2$ from dividend $16928$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{224)}000\phantom{6}\\224\overline{)16928}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $16928$

$$\begin{array}{l}\phantom{224)}000\phantom{7}\\224\overline{)16928}\\\end{array}$$

Find closest multiple of $224$ to $1692$. We see that $7 \times 224 = 1568$ is the nearest. Now subtract $1568$ from $1692$ to get reminder $124$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{224)}0007\phantom{8}\\224\overline{)16928}\\\phantom{224)}\underline{\phantom{}1568\phantom{9}}\\\phantom{224)9}124\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $16928$

$$\begin{array}{l}\phantom{224)}0007\phantom{9}\\224\overline{)16928}\\\phantom{224)}\underline{\phantom{}1568\phantom{9}}\\\phantom{224)9}1248\\\end{array}$$

Find closest multiple of $224$ to $1248$. We see that $5 \times 224 = 1120$ is the nearest. Now subtract $1120$ from $1248$ to get reminder $128$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{224)}00075\phantom{10}\\224\overline{)16928}\\\phantom{224)}\underline{\phantom{}1568\phantom{9}}\\\phantom{224)9}1248\\\phantom{224)}\underline{\phantom{9}1120\phantom{}}\\\phantom{224)99}128\\\end{array}$$

Since $128$ is less than $224$, stop the division. The reminder is $128$. The topmost line $00075$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $75$.

$$\text{Quotient: }75$$ $$\text{Reminder: }128$$

Show Solution

Factor

$\frac{23 ^ {2}}{7} = 75\frac{4}{7} = 75.57142857142857$

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Steps For Long Division Method

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