How to solve ) 16975/315

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 ) 16975/315 | Equatix

Question

$$16975 \div 315$$

Evaluate

$\frac{485}{9}\approx 53.888888889$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $16975$

$$\begin{array}{l}\phantom{315)}\phantom{1}\\315\overline{)16975}\\\end{array}$$

Since $1$ is less than $315$, use the next digit $6$ from dividend $16975$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{315)}0\phantom{2}\\315\overline{)16975}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $16975$

$$\begin{array}{l}\phantom{315)}0\phantom{3}\\315\overline{)16975}\\\end{array}$$

Since $16$ is less than $315$, use the next digit $9$ from dividend $16975$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{315)}00\phantom{4}\\315\overline{)16975}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $16975$

$$\begin{array}{l}\phantom{315)}00\phantom{5}\\315\overline{)16975}\\\end{array}$$

Since $169$ is less than $315$, use the next digit $7$ from dividend $16975$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{315)}000\phantom{6}\\315\overline{)16975}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $16975$

$$\begin{array}{l}\phantom{315)}000\phantom{7}\\315\overline{)16975}\\\end{array}$$

Find closest multiple of $315$ to $1697$. We see that $5 \times 315 = 1575$ is the nearest. Now subtract $1575$ from $1697$ to get reminder $122$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{315)}0005\phantom{8}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}122\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $16975$

$$\begin{array}{l}\phantom{315)}0005\phantom{9}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}1225\\\end{array}$$

Find closest multiple of $315$ to $1225$. We see that $3 \times 315 = 945$ is the nearest. Now subtract $945$ from $1225$ to get reminder $280$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{315)}00053\phantom{10}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}1225\\\phantom{315)}\underline{\phantom{99}945\phantom{}}\\\phantom{315)99}280\\\end{array}$$

Since $280$ is less than $315$, stop the division. The reminder is $280$. The topmost line $00053$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $53$.

$$\text{Quotient: }53$$ $$\text{Reminder: }280$$

Show Solution

Factor

$\frac{5 \cdot 97}{3 ^ {2}} = 53\frac{8}{9} = 53.888888888888886$

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Steps For Long Division Method

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