How to solve (17575)/(475)

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 (17575)/(475) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 17575 }{ 475 }$$

Evaluate

$37$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $17575$

$$\begin{array}{l}\phantom{475)}\phantom{1}\\475\overline{)17575}\\\end{array}$$

Since $1$ is less than $475$, use the next digit $7$ from dividend $17575$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{475)}0\phantom{2}\\475\overline{)17575}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $17575$

$$\begin{array}{l}\phantom{475)}0\phantom{3}\\475\overline{)17575}\\\end{array}$$

Since $17$ is less than $475$, use the next digit $5$ from dividend $17575$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{475)}00\phantom{4}\\475\overline{)17575}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $17575$

$$\begin{array}{l}\phantom{475)}00\phantom{5}\\475\overline{)17575}\\\end{array}$$

Since $175$ is less than $475$, use the next digit $7$ from dividend $17575$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{475)}000\phantom{6}\\475\overline{)17575}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $17575$

$$\begin{array}{l}\phantom{475)}000\phantom{7}\\475\overline{)17575}\\\end{array}$$

Find closest multiple of $475$ to $1757$. We see that $3 \times 475 = 1425$ is the nearest. Now subtract $1425$ from $1757$ to get reminder $332$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{475)}0003\phantom{8}\\475\overline{)17575}\\\phantom{475)}\underline{\phantom{}1425\phantom{9}}\\\phantom{475)9}332\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $17575$

$$\begin{array}{l}\phantom{475)}0003\phantom{9}\\475\overline{)17575}\\\phantom{475)}\underline{\phantom{}1425\phantom{9}}\\\phantom{475)9}3325\\\end{array}$$

Find closest multiple of $475$ to $3325$. We see that $7 \times 475 = 3325$ is the nearest. Now subtract $3325$ from $3325$ to get reminder $0$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{475)}00037\phantom{10}\\475\overline{)17575}\\\phantom{475)}\underline{\phantom{}1425\phantom{9}}\\\phantom{475)9}3325\\\phantom{475)}\underline{\phantom{9}3325\phantom{}}\\\phantom{475)99999}0\\\end{array}$$

Since $0$ is less than $475$, stop the division. The reminder is $0$. The topmost line $00037$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $37$.

$$\text{Quotient: }37$$ $$\text{Reminder: }0$$

Show Solution

Factor