How to solve 62406/852

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 62406/852 | Equatix

Question

$$62406\div852$$

Evaluate

$\frac{10401}{142}\approx 73.246478873$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $62406$

$$\begin{array}{l}\phantom{852)}\phantom{1}\\852\overline{)62406}\\\end{array}$$

Since $6$ is less than $852$, use the next digit $2$ from dividend $62406$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{852)}0\phantom{2}\\852\overline{)62406}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $62406$

$$\begin{array}{l}\phantom{852)}0\phantom{3}\\852\overline{)62406}\\\end{array}$$

Since $62$ is less than $852$, use the next digit $4$ from dividend $62406$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{852)}00\phantom{4}\\852\overline{)62406}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $62406$

$$\begin{array}{l}\phantom{852)}00\phantom{5}\\852\overline{)62406}\\\end{array}$$

Since $624$ is less than $852$, use the next digit $0$ from dividend $62406$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{852)}000\phantom{6}\\852\overline{)62406}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $62406$

$$\begin{array}{l}\phantom{852)}000\phantom{7}\\852\overline{)62406}\\\end{array}$$

Find closest multiple of $852$ to $6240$. We see that $7 \times 852 = 5964$ is the nearest. Now subtract $5964$ from $6240$ to get reminder $276$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{852)}0007\phantom{8}\\852\overline{)62406}\\\phantom{852)}\underline{\phantom{}5964\phantom{9}}\\\phantom{852)9}276\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $62406$

$$\begin{array}{l}\phantom{852)}0007\phantom{9}\\852\overline{)62406}\\\phantom{852)}\underline{\phantom{}5964\phantom{9}}\\\phantom{852)9}2766\\\end{array}$$

Find closest multiple of $852$ to $2766$. We see that $3 \times 852 = 2556$ is the nearest. Now subtract $2556$ from $2766$ to get reminder $210$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{852)}00073\phantom{10}\\852\overline{)62406}\\\phantom{852)}\underline{\phantom{}5964\phantom{9}}\\\phantom{852)9}2766\\\phantom{852)}\underline{\phantom{9}2556\phantom{}}\\\phantom{852)99}210\\\end{array}$$

Since $210$ is less than $852$, stop the division. The reminder is $210$. The topmost line $00073$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $73$.

$$\text{Quotient: }73$$ $$\text{Reminder: }210$$

Show Solution

Factor

$\frac{3 \cdot 3467}{2 \cdot 71} = 73\frac{35}{142} = 73.24647887323944$

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Steps For Long Division Method

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