How to solve (8178)/(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 (8178)/(38) | Equatix

Question

$$\frac{ 8178 }{ 38 }$$

Evaluate

$\frac{4089}{19}\approx 215.210526316$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8178$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)8178}\\\end{array}$$

Since $8$ is less than $38$, use the next digit $1$ from dividend $8178$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)8178}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $8178$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)8178}\\\end{array}$$

Find closest multiple of $38$ to $81$. We see that $2 \times 38 = 76$ is the nearest. Now subtract $76$ from $81$ to get reminder $5$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{38)}02\phantom{4}\\38\overline{)8178}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)9}5\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $8178$

$$\begin{array}{l}\phantom{38)}02\phantom{5}\\38\overline{)8178}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)9}57\\\end{array}$$

Find closest multiple of $38$ to $57$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $57$ to get reminder $19$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}021\phantom{6}\\38\overline{)8178}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)9}57\\\phantom{38)}\underline{\phantom{9}38\phantom{9}}\\\phantom{38)9}19\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $8178$

$$\begin{array}{l}\phantom{38)}021\phantom{7}\\38\overline{)8178}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)9}57\\\phantom{38)}\underline{\phantom{9}38\phantom{9}}\\\phantom{38)9}198\\\end{array}$$

Find closest multiple of $38$ to $198$. We see that $5 \times 38 = 190$ is the nearest. Now subtract $190$ from $198$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{38)}0215\phantom{8}\\38\overline{)8178}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)9}57\\\phantom{38)}\underline{\phantom{9}38\phantom{9}}\\\phantom{38)9}198\\\phantom{38)}\underline{\phantom{9}190\phantom{}}\\\phantom{38)999}8\\\end{array}$$

Since $8$ is less than $38$, stop the division. The reminder is $8$. The topmost line $0215$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $215$.

$$\text{Quotient: }215$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{3 \cdot 29 \cdot 47}{19} = 215\frac{4}{19} = 215.21052631578948$

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Steps For Long Division Method

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