How to solve 72450/520

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 72450/520 | Equatix

Question

$$72450\div520$$

Evaluate

$\frac{7245}{52}\approx 139.326923077$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $72450$

$$\begin{array}{l}\phantom{520)}\phantom{1}\\520\overline{)72450}\\\end{array}$$

Since $7$ is less than $520$, use the next digit $2$ from dividend $72450$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{520)}0\phantom{2}\\520\overline{)72450}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $72450$

$$\begin{array}{l}\phantom{520)}0\phantom{3}\\520\overline{)72450}\\\end{array}$$

Since $72$ is less than $520$, use the next digit $4$ from dividend $72450$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{520)}00\phantom{4}\\520\overline{)72450}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $72450$

$$\begin{array}{l}\phantom{520)}00\phantom{5}\\520\overline{)72450}\\\end{array}$$

Find closest multiple of $520$ to $724$. We see that $1 \times 520 = 520$ is the nearest. Now subtract $520$ from $724$ to get reminder $204$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{520)}001\phantom{6}\\520\overline{)72450}\\\phantom{520)}\underline{\phantom{}520\phantom{99}}\\\phantom{520)}204\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $72450$

$$\begin{array}{l}\phantom{520)}001\phantom{7}\\520\overline{)72450}\\\phantom{520)}\underline{\phantom{}520\phantom{99}}\\\phantom{520)}2045\\\end{array}$$

Find closest multiple of $520$ to $2045$. We see that $3 \times 520 = 1560$ is the nearest. Now subtract $1560$ from $2045$ to get reminder $485$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{520)}0013\phantom{8}\\520\overline{)72450}\\\phantom{520)}\underline{\phantom{}520\phantom{99}}\\\phantom{520)}2045\\\phantom{520)}\underline{\phantom{}1560\phantom{9}}\\\phantom{520)9}485\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $72450$

$$\begin{array}{l}\phantom{520)}0013\phantom{9}\\520\overline{)72450}\\\phantom{520)}\underline{\phantom{}520\phantom{99}}\\\phantom{520)}2045\\\phantom{520)}\underline{\phantom{}1560\phantom{9}}\\\phantom{520)9}4850\\\end{array}$$

Find closest multiple of $520$ to $4850$. We see that $9 \times 520 = 4680$ is the nearest. Now subtract $4680$ from $4850$ to get reminder $170$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{520)}00139\phantom{10}\\520\overline{)72450}\\\phantom{520)}\underline{\phantom{}520\phantom{99}}\\\phantom{520)}2045\\\phantom{520)}\underline{\phantom{}1560\phantom{9}}\\\phantom{520)9}4850\\\phantom{520)}\underline{\phantom{9}4680\phantom{}}\\\phantom{520)99}170\\\end{array}$$

Since $170$ is less than $520$, stop the division. The reminder is $170$. The topmost line $00139$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $139$.

$$\text{Quotient: }139$$ $$\text{Reminder: }170$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 5 \cdot 7 \cdot 23}{2 ^ {2} \cdot 13} = 139\frac{17}{52} = 139.32692307692307$

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Steps For Long Division Method

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