How to solve (271224)/(61)

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 (271224)/(61) | Equatix

Question

$$\frac{ 271224 }{ 61 }$$

Evaluate

$\frac{271224}{61}\approx 4446.295081967$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)271224}\\\end{array}$$

Since $2$ is less than $61$, use the next digit $7$ from dividend $271224$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)271224}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)271224}\\\end{array}$$

Since $27$ is less than $61$, use the next digit $1$ from dividend $271224$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}00\phantom{4}\\61\overline{)271224}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}00\phantom{5}\\61\overline{)271224}\\\end{array}$$

Find closest multiple of $61$ to $271$. We see that $4 \times 61 = 244$ is the nearest. Now subtract $244$ from $271$ to get reminder $27$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{61)}004\phantom{6}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}27\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}004\phantom{7}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\end{array}$$

Find closest multiple of $61$ to $272$. We see that $4 \times 61 = 244$ is the nearest. Now subtract $244$ from $272$ to get reminder $28$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{61)}0044\phantom{8}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\phantom{61)}\underline{\phantom{9}244\phantom{99}}\\\phantom{61)99}28\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}0044\phantom{9}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\phantom{61)}\underline{\phantom{9}244\phantom{99}}\\\phantom{61)99}282\\\end{array}$$

Find closest multiple of $61$ to $282$. We see that $4 \times 61 = 244$ is the nearest. Now subtract $244$ from $282$ to get reminder $38$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{61)}00444\phantom{10}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\phantom{61)}\underline{\phantom{9}244\phantom{99}}\\\phantom{61)99}282\\\phantom{61)}\underline{\phantom{99}244\phantom{9}}\\\phantom{61)999}38\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $271224$

$$\begin{array}{l}\phantom{61)}00444\phantom{11}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\phantom{61)}\underline{\phantom{9}244\phantom{99}}\\\phantom{61)99}282\\\phantom{61)}\underline{\phantom{99}244\phantom{9}}\\\phantom{61)999}384\\\end{array}$$

Find closest multiple of $61$ to $384$. We see that $6 \times 61 = 366$ is the nearest. Now subtract $366$ from $384$ to get reminder $18$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{61)}004446\phantom{12}\\61\overline{)271224}\\\phantom{61)}\underline{\phantom{}244\phantom{999}}\\\phantom{61)9}272\\\phantom{61)}\underline{\phantom{9}244\phantom{99}}\\\phantom{61)99}282\\\phantom{61)}\underline{\phantom{99}244\phantom{9}}\\\phantom{61)999}384\\\phantom{61)}\underline{\phantom{999}366\phantom{}}\\\phantom{61)9999}18\\\end{array}$$

Since $18$ is less than $61$, stop the division. The reminder is $18$. The topmost line $004446$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4446$.

$$\text{Quotient: }4446$$ $$\text{Reminder: }18$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 3767}{61} = 4446\frac{18}{61} = 4446.295081967213$

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Steps For Long Division Method

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