How to solve 720503/190

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 720503/190 | Equatix

Question

$$720503\div190$$

Evaluate

$\frac{720503}{190}\approx 3792.121052632$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}\phantom{1}\\190\overline{)720503}\\\end{array}$$

Since $7$ is less than $190$, use the next digit $2$ from dividend $720503$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{190)}0\phantom{2}\\190\overline{)720503}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}0\phantom{3}\\190\overline{)720503}\\\end{array}$$

Since $72$ is less than $190$, use the next digit $0$ from dividend $720503$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{190)}00\phantom{4}\\190\overline{)720503}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}00\phantom{5}\\190\overline{)720503}\\\end{array}$$

Find closest multiple of $190$ to $720$. We see that $3 \times 190 = 570$ is the nearest. Now subtract $570$ from $720$ to get reminder $150$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{190)}003\phantom{6}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}150\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}003\phantom{7}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\end{array}$$

Find closest multiple of $190$ to $1505$. We see that $7 \times 190 = 1330$ is the nearest. Now subtract $1330$ from $1505$ to get reminder $175$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{190)}0037\phantom{8}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\phantom{190)}\underline{\phantom{}1330\phantom{99}}\\\phantom{190)9}175\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}0037\phantom{9}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\phantom{190)}\underline{\phantom{}1330\phantom{99}}\\\phantom{190)9}1750\\\end{array}$$

Find closest multiple of $190$ to $1750$. We see that $9 \times 190 = 1710$ is the nearest. Now subtract $1710$ from $1750$ to get reminder $40$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{190)}00379\phantom{10}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\phantom{190)}\underline{\phantom{}1330\phantom{99}}\\\phantom{190)9}1750\\\phantom{190)}\underline{\phantom{9}1710\phantom{9}}\\\phantom{190)999}40\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $720503$

$$\begin{array}{l}\phantom{190)}00379\phantom{11}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\phantom{190)}\underline{\phantom{}1330\phantom{99}}\\\phantom{190)9}1750\\\phantom{190)}\underline{\phantom{9}1710\phantom{9}}\\\phantom{190)999}403\\\end{array}$$

Find closest multiple of $190$ to $403$. We see that $2 \times 190 = 380$ is the nearest. Now subtract $380$ from $403$ to get reminder $23$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{190)}003792\phantom{12}\\190\overline{)720503}\\\phantom{190)}\underline{\phantom{}570\phantom{999}}\\\phantom{190)}1505\\\phantom{190)}\underline{\phantom{}1330\phantom{99}}\\\phantom{190)9}1750\\\phantom{190)}\underline{\phantom{9}1710\phantom{9}}\\\phantom{190)999}403\\\phantom{190)}\underline{\phantom{999}380\phantom{}}\\\phantom{190)9999}23\\\end{array}$$

Since $23$ is less than $190$, stop the division. The reminder is $23$. The topmost line $003792$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3792$.

$$\text{Quotient: }3792$$ $$\text{Reminder: }23$$

Show Solution

Factor

$\frac{7 \cdot 102929}{2 \cdot 5 \cdot 19} = 3792\frac{23}{190} = 3792.121052631579$

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Steps For Long Division Method

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