How to solve (7589)/(19)

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 (7589)/(19) | Equatix

Question

$$\frac{ 7589 }{ 19 }$$

Evaluate

$\frac{7589}{19}\approx 399.421052632$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7589$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)7589}\\\end{array}$$

Since $7$ is less than $19$, use the next digit $5$ from dividend $7589$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)7589}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $7589$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)7589}\\\end{array}$$

Find closest multiple of $19$ to $75$. We see that $3 \times 19 = 57$ is the nearest. Now subtract $57$ from $75$ to get reminder $18$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{19)}03\phantom{4}\\19\overline{)7589}\\\phantom{19)}\underline{\phantom{}57\phantom{99}}\\\phantom{19)}18\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7589$

$$\begin{array}{l}\phantom{19)}03\phantom{5}\\19\overline{)7589}\\\phantom{19)}\underline{\phantom{}57\phantom{99}}\\\phantom{19)}188\\\end{array}$$

Find closest multiple of $19$ to $188$. We see that $9 \times 19 = 171$ is the nearest. Now subtract $171$ from $188$ to get reminder $17$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{19)}039\phantom{6}\\19\overline{)7589}\\\phantom{19)}\underline{\phantom{}57\phantom{99}}\\\phantom{19)}188\\\phantom{19)}\underline{\phantom{}171\phantom{9}}\\\phantom{19)9}17\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $7589$

$$\begin{array}{l}\phantom{19)}039\phantom{7}\\19\overline{)7589}\\\phantom{19)}\underline{\phantom{}57\phantom{99}}\\\phantom{19)}188\\\phantom{19)}\underline{\phantom{}171\phantom{9}}\\\phantom{19)9}179\\\end{array}$$

Find closest multiple of $19$ to $179$. We see that $9 \times 19 = 171$ is the nearest. Now subtract $171$ from $179$ to get reminder $8$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{19)}0399\phantom{8}\\19\overline{)7589}\\\phantom{19)}\underline{\phantom{}57\phantom{99}}\\\phantom{19)}188\\\phantom{19)}\underline{\phantom{}171\phantom{9}}\\\phantom{19)9}179\\\phantom{19)}\underline{\phantom{9}171\phantom{}}\\\phantom{19)999}8\\\end{array}$$

Since $8$ is less than $19$, stop the division. The reminder is $8$. The topmost line $0399$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $399$.

$$\text{Quotient: }399$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{7589}{19} = 399\frac{8}{19} = 399.42105263157896$

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Steps For Long Division Method

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