How to solve (1579)/(38)

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 (1579)/(38) | Equatix

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Question

$$\frac{ 1579 }{ 38 }$$

Evaluate

$\frac{1579}{38}\approx 41.552631579$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1579$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)1579}\\\end{array}$$

Since $1$ is less than $38$, use the next digit $5$ from dividend $1579$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)1579}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $1579$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)1579}\\\end{array}$$

Since $15$ is less than $38$, use the next digit $7$ from dividend $1579$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)1579}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $1579$

$$\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)1579}\\\end{array}$$

Find closest multiple of $38$ to $157$. We see that $4 \times 38 = 152$ is the nearest. Now subtract $152$ from $157$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{38)}004\phantom{6}\\38\overline{)1579}\\\phantom{38)}\underline{\phantom{}152\phantom{9}}\\\phantom{38)99}5\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $1579$

$$\begin{array}{l}\phantom{38)}004\phantom{7}\\38\overline{)1579}\\\phantom{38)}\underline{\phantom{}152\phantom{9}}\\\phantom{38)99}59\\\end{array}$$

Find closest multiple of $38$ to $59$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $59$ to get reminder $21$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}0041\phantom{8}\\38\overline{)1579}\\\phantom{38)}\underline{\phantom{}152\phantom{9}}\\\phantom{38)99}59\\\phantom{38)}\underline{\phantom{99}38\phantom{}}\\\phantom{38)99}21\\\end{array}$$

Since $21$ is less than $38$, stop the division. The reminder is $21$. The topmost line $0041$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $41$.

$$\text{Quotient: }41$$ $$\text{Reminder: }21$$

Show Solution

Factor

$\frac{1579}{2 \cdot 19} = 41\frac{21}{38} = 41.55263157894737$