How to solve (46028)/(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 (46028)/(38) | Equatix

Question

$$\frac{ 46028 }{ 38 }$$

Evaluate

$\frac{23014}{19}\approx 1211.263157895$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $46028$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)46028}\\\end{array}$$

Since $4$ is less than $38$, use the next digit $6$ from dividend $46028$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)46028}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $46028$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)46028}\\\end{array}$$

Find closest multiple of $38$ to $46$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $46$ to get reminder $8$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}01\phantom{4}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}8\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $46028$

$$\begin{array}{l}\phantom{38)}01\phantom{5}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\end{array}$$

Find closest multiple of $38$ to $80$. We see that $2 \times 38 = 76$ is the nearest. Now subtract $76$ from $80$ to get reminder $4$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{38)}012\phantom{6}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)99}4\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $46028$

$$\begin{array}{l}\phantom{38)}012\phantom{7}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)99}42\\\end{array}$$

Find closest multiple of $38$ to $42$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $42$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}0121\phantom{8}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)99}42\\\phantom{38)}\underline{\phantom{99}38\phantom{9}}\\\phantom{38)999}4\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $46028$

$$\begin{array}{l}\phantom{38)}0121\phantom{9}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)99}42\\\phantom{38)}\underline{\phantom{99}38\phantom{9}}\\\phantom{38)999}48\\\end{array}$$

Find closest multiple of $38$ to $48$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $48$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}01211\phantom{10}\\38\overline{)46028}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)9}80\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)99}42\\\phantom{38)}\underline{\phantom{99}38\phantom{9}}\\\phantom{38)999}48\\\phantom{38)}\underline{\phantom{999}38\phantom{}}\\\phantom{38)999}10\\\end{array}$$

Since $10$ is less than $38$, stop the division. The reminder is $10$. The topmost line $01211$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1211$.

$$\text{Quotient: }1211$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 \cdot 37 \cdot 311}{19} = 1211\frac{5}{19} = 1211.2631578947369$

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Steps For Long Division Method

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